Tetraederzahlen

Einleitung

Eine Tetraederzahl ergibt sich aus der Anzahl der Steine, die sich zu einem Tetraeder (vier gleichseitige Dreiecke) aufgeschichtet werden.

Die Tetraederzahlen zählen neben den Quadratischen Pyramidalzahlen zu den Pyramidalzahlen (Pyramidenzahlen).
Wie alle regulären figurierten Zahlen lassen sich auch die Tetraederzahlen im Pascalschen Dreieck ablesen.

Formel

Aus einer natürlichen Zahl n lässt sich nach folgender Formel deren Tetraederzahl berechnen:
Formel für eine Tetraederzahl n

Beispiel:

Beispiel einer Berechnung der Tetraederzahl von 5

Verzeichnis

 

Tetraederzahl von 0


Hier finden Sie die Tetraederzahl von 0.
Bei einigen Autoren ist die Null keine Tetraederzahl, sodass die Zahlenfolge erst mit der Eins beginnt.

t0 = 0

 

Tetraederzahlen von 1 bis 100


Hier finden Sie eine Liste der Tetraederzahlen von 1 bis 100.

t1 → t10 t1 = 1t2 = 4t3 = 10t4 = 20t5 = 35t6 = 56t7 = 84t8 = 120t9 = 165t10 = 220
t11 → t20 t11 = 286t12 = 364t13 = 455t14 = 560t15 = 680t16 = 816t17 = 969t18 = 1140t19 = 1330t20 = 1540
t21 → t30 t21 = 1771t22 = 2024t23 = 2300t24 = 2600t25 = 2925t26 = 3276t27 = 3654t28 = 4060t29 = 4495t30 = 4960
t31 → t40 t31 = 5456t32 = 5984t33 = 6545t34 = 7140t35 = 7770t36 = 8436t37 = 9139t38 = 9880t39 = 10660t40 = 11480
t41 → t50 t41 = 12341t42 = 13244t43 = 14190t44 = 15180t45 = 16215t46 = 17296t47 = 18424t48 = 19600t49 = 20825t50 = 22100
t51 → t60 t51 = 23426t52 = 24804t53 = 26235t54 = 27720t55 = 29260t56 = 30856t57 = 32509t58 = 34220t59 = 35990t60 = 37820
t61 → t70 t61 = 39711t62 = 41664t63 = 43680t64 = 45760t65 = 47905t66 = 50116t67 = 52394t68 = 54740t69 = 57155t70 = 59640
t71 → t80 t71 = 62196t72 = 64824t73 = 67525t74 = 70300t75 = 73150t76 = 76076t77 = 79079t78 = 82160t79 = 85320t80 = 88560
t81 → t90 t81 = 91881t82 = 95284t83 = 98770t84 = 102340t85 = 105995t86 = 109736t87 = 113564t88 = 117480t89 = 121485t90 = 125580
t91 → t100 t91 = 129766t92 = 134044t93 = 138415t94 = 142880t95 = 147440t96 = 152096t97 = 156849t98 = 161700t99 = 166650t100 = 171700

 

Tetraederzahlen von 101 bis 200


Hier finden Sie eine Liste der Tetraederzahlen von 101 bis 200.

t101 → t110 t101 = 176851t102 = 182104t103 = 187460t104 = 192920t105 = 198485t106 = 204156t107 = 209934t108 = 215820t109 = 221815t110 = 227920
t111 → t120 t111 = 234136t112 = 240464t113 = 246905t114 = 253460t115 = 260130t116 = 266916t117 = 273819t118 = 280840t119 = 287980t120 = 295240
t121 → t130 t121 = 302621t122 = 310124t123 = 317750t124 = 325500t125 = 333375t126 = 341376t127 = 349504t128 = 357760t129 = 366145t130 = 374660
t131 → t140 t131 = 383306t132 = 392084t133 = 400995t134 = 410040t135 = 419220t136 = 428536t137 = 437989t138 = 447580t139 = 457310t140 = 467180
t141 → t150 t141 = 477191t142 = 487344t143 = 497640t144 = 508080t145 = 518665t146 = 529396t147 = 540274t148 = 551300t149 = 562475t150 = 573800
t151 → t160 t151 = 585276t152 = 596904t153 = 608685t154 = 620620t155 = 632710t156 = 644956t157 = 657359t158 = 669920t159 = 682640t160 = 695520
t161 → t170 t161 = 708561t162 = 721764t163 = 735130t164 = 748660t165 = 762355t166 = 776216t167 = 790244t168 = 804440t169 = 818805t170 = 833340
t171 → t180 t171 = 848046t172 = 862924t173 = 877975t174 = 893200t175 = 908600t176 = 924176t177 = 939929t178 = 955860t179 = 971970t180 = 988260
t181 → t190 t181 = 1004731t182 = 1021384t183 = 1038220t184 = 1055240t185 = 1072445t186 = 1089836t187 = 1107414t188 = 1125180t189 = 1143135t190 = 1161280
t191 → t200 t191 = 1179616t192 = 1198144t193 = 1216865t194 = 1235780t195 = 1254890t196 = 1274196t197 = 1293699t198 = 1313400t199 = 1333300t200 = 1353400

 

Tetraederzahlen von 201 bis 300


Hier finden Sie eine Liste der Tetraederzahlen von 201 bis 300.

t201 → t210 t201 = 1373701t202 = 1394204t203 = 1414910t204 = 1435820t205 = 1456935t206 = 1478256t207 = 1499784t208 = 1521520t209 = 1543465t210 = 1565620
t211 → t220 t211 = 1587986t212 = 1610564t213 = 1633355t214 = 1656360t215 = 1679580t216 = 1703016t217 = 1726669t218 = 1750540t219 = 1774630t220 = 1798940
t221 → t230 t221 = 1823471t222 = 1848224t223 = 1873200t224 = 1898400t225 = 1923825t226 = 1949476t227 = 1975354t228 = 2001460t229 = 2027795t230 = 2054360
t231 → t240 t231 = 2081156t232 = 2108184t233 = 2135445t234 = 2162940t235 = 2190670t236 = 2218636t237 = 2246839t238 = 2275280t239 = 2303960t240 = 2332880
t241 → t250 t241 = 2362041t242 = 2391444t243 = 2421090t244 = 2450980t245 = 2481115t246 = 2511496t247 = 2542124t248 = 2573000t249 = 2604125t250 = 2635500
t251 → t260 t251 = 2667126t252 = 2699004t253 = 2731135t254 = 2763520t255 = 2796160t256 = 2829056t257 = 2862209t258 = 2895620t259 = 2929290t260 = 2963220
t261 → t270 t261 = 2997411t262 = 3031864t263 = 3066580t264 = 3101560t265 = 3136805t266 = 3172316t267 = 3208094t268 = 3244140t269 = 3280455t270 = 3317040
t271 → t280 t271 = 3353896t272 = 3391024t273 = 3428425t274 = 3466100t275 = 3504050t276 = 3542276t277 = 3580779t278 = 3619560t279 = 3658620t280 = 3697960
t281 → t290 t281 = 3737581t282 = 3777484t283 = 3817670t284 = 3858140t285 = 3898895t286 = 3939936t287 = 3981264t288 = 4022880t289 = 4064785t290 = 4106980
t291 → t300 t291 = 4149466t292 = 4192244t293 = 4235315t294 = 4278680t295 = 4322340t296 = 4366296t297 = 4410549t298 = 4455100t299 = 4499950t300 = 4545100

 

Tetraederzahlen von 301 bis 400


Hier finden Sie eine Liste der Tetraederzahlen von 301 bis 400.

t301 → t310 t301 = 4590551t302 = 4636304t303 = 4682360t304 = 4728720t305 = 4775385t306 = 4822356t307 = 4869634t308 = 4917220t309 = 4965115t310 = 5013320
t311 → t320 t311 = 5061836t312 = 5110664t313 = 5159805t314 = 5209260t315 = 5259030t316 = 5309116t317 = 5359519t318 = 5410240t319 = 5461280t320 = 5512640
t321 → t330 t321 = 5564321t322 = 5616324t323 = 5668650t324 = 5721300t325 = 5774275t326 = 5827576t327 = 5881204t328 = 5935160t329 = 5989445t330 = 6044060
t331 → t340 t331 = 6099006t332 = 6154284t333 = 6209895t334 = 6265840t335 = 6322120t336 = 6378736t337 = 6435689t338 = 6492980t339 = 6550610t340 = 6608580
t341 → t350 t341 = 6666891t342 = 6725544t343 = 6784540t344 = 6843880t345 = 6903565t346 = 6963596t347 = 7023974t348 = 7084700t349 = 7145775t350 = 7207200
t351 → t360 t351 = 7268976t352 = 7331104t353 = 7393585t354 = 7456420t355 = 7519610t356 = 7583156t357 = 7647059t358 = 7711320t359 = 7775940t360 = 7840920
t361 → t370 t361 = 7906261t362 = 7971964t363 = 8038030t364 = 8104460t365 = 8171255t366 = 8238416t367 = 8305944t368 = 8373840t369 = 8442105t370 = 8510740
t371 → t380 t371 = 8579746t372 = 8649124t373 = 8718875t374 = 8789000t375 = 8859500t376 = 8930376t377 = 9001629t378 = 9073260t379 = 9145270t380 = 9217660
t381 → t390 t381 = 9290431t382 = 9363584t383 = 9437120t384 = 9511040t385 = 9585345t386 = 9660036t387 = 9735114t388 = 9810580t389 = 9886435t390 = 9962680
t391 → t400 t391 = 10039316t392 = 10116344t393 = 10193765t394 = 10271580t395 = 10349790t396 = 10428396t397 = 10507399t398 = 10586800t399 = 10666600t400 = 10746800

 

Tetraederzahlen von 401 bis 500


Hier finden Sie eine Liste der Tetraederzahlen von 401 bis 500.

t401 → t410 t401 = 10827401t402 = 10908404t403 = 10989810t404 = 11071620t405 = 11153835t406 = 11236456t407 = 11319484t408 = 11402920t409 = 11486765t410 = 11571020
t411 → t420 t411 = 11655686t412 = 11740764t413 = 11826255t414 = 11912160t415 = 11998480t416 = 12085216t417 = 12172369t418 = 12259940t419 = 12347930t420 = 12436340
t421 → t430 t421 = 12525171t422 = 12614424t423 = 12704100t424 = 12794200t425 = 12884725t426 = 12975676t427 = 13067054t428 = 13158860t429 = 13251095t430 = 13343760
t431 → t440 t431 = 13436856t432 = 13530384t433 = 13624345t434 = 13718740t435 = 13813570t436 = 13908836t437 = 14004539t438 = 14100680t439 = 14197260t440 = 14294280
t441 → t450 t441 = 14391741t442 = 14489644t443 = 14587990t444 = 14686780t445 = 14786015t446 = 14885696t447 = 14985824t448 = 15086400t449 = 15187425t450 = 15288900
t451 → t460 t451 = 15390826t452 = 15493204t453 = 15596035t454 = 15699320t455 = 15803060t456 = 15907256t457 = 16011909t458 = 16117020t459 = 16222590t460 = 16328620
t461 → t470 t461 = 16435111t462 = 16542064t463 = 16649480t464 = 16757360t465 = 16865705t466 = 16974516t467 = 17083794t468 = 17193540t469 = 17303755t470 = 17414440
t471 → t480 t471 = 17525596t472 = 17637224t473 = 17749325t474 = 17861900t475 = 17974950t476 = 18088476t477 = 18202479t478 = 18316960t479 = 18431920t480 = 18547360
t481 → t490 t481 = 18663281t482 = 18779684t483 = 18896570t484 = 19013940t485 = 19131795t486 = 19250136t487 = 19368964t488 = 19488280t489 = 19608085t490 = 19728380
t491 → t500 t491 = 19849166t492 = 19970444t493 = 20092215t494 = 20214480t495 = 20337240t496 = 20460496t497 = 20584249t498 = 20708500t499 = 20833250t500 = 20958500

 

Tetraederzahlen von 501 bis 600


Hier finden Sie eine Liste der Tetraederzahlen von 501 bis 600.

t501 → t510 t501 = 21084251t502 = 21210504t503 = 21337260t504 = 21464520t505 = 21592285t506 = 21720556t507 = 21849334t508 = 21978620t509 = 22108415t510 = 22238720
t511 → t520 t511 = 22369536t512 = 22500864t513 = 22632705t514 = 22765060t515 = 22897930t516 = 23031316t517 = 23165219t518 = 23299640t519 = 23434580t520 = 23570040
t521 → t530 t521 = 23706021t522 = 23842524t523 = 23979550t524 = 24117100t525 = 24255175t526 = 24393776t527 = 24532904t528 = 24672560t529 = 24812745t530 = 24953460
t531 → t540 t531 = 25094706t532 = 25236484t533 = 25378795t534 = 25521640t535 = 25665020t536 = 25808936t537 = 25953389t538 = 26098380t539 = 26243910t540 = 26389980
t541 → t550 t541 = 26536591t542 = 26683744t543 = 26831440t544 = 26979680t545 = 27128465t546 = 27277796t547 = 27427674t548 = 27578100t549 = 27729075t550 = 27880600
t551 → t560 t551 = 28032676t552 = 28185304t553 = 28338485t554 = 28492220t555 = 28646510t556 = 28801356t557 = 28956759t558 = 29112720t559 = 29269240t560 = 29426320
t561 → t570 t561 = 29583961t562 = 29742164t563 = 29900930t564 = 30060260t565 = 30220155t566 = 30380616t567 = 30541644t568 = 30703240t569 = 30865405t570 = 31028140
t571 → t580 t571 = 31191446t572 = 31355324t573 = 31519775t574 = 31684800t575 = 31850400t576 = 32016576t577 = 32183329t578 = 32350660t579 = 32518570t580 = 32687060
t581 → t590 t581 = 32856131t582 = 33025784t583 = 33196020t584 = 33366840t585 = 33538245t586 = 33710236t587 = 33882814t588 = 34055980t589 = 34229735t590 = 34404080
t591 → t600 t591 = 34579016t592 = 34754544t593 = 34930665t594 = 35107380t595 = 35284690t596 = 35462596t597 = 35641099t598 = 35820200t599 = 35999900t600 = 36180200

 

Tetraederzahlen von 601 bis 700


Hier finden Sie eine Liste der Tetraederzahlen von 601 bis 700.

t601 → t610 t601 = 36361101t602 = 36542604t603 = 36724710t604 = 36907420t605 = 37090735t606 = 37274656t607 = 37459184t608 = 37644320t609 = 37830065t610 = 38016420
t611 → t620 t611 = 38203386t612 = 38390964t613 = 38579155t614 = 38767960t615 = 38957380t616 = 39147416t617 = 39338069t618 = 39529340t619 = 39721230t620 = 39913740
t621 → t630 t621 = 40106871t622 = 40300624t623 = 40495000t624 = 40690000t625 = 40885625t626 = 41081876t627 = 41278754t628 = 41476260t629 = 41674395t630 = 41873160
t631 → t640 t631 = 42072556t632 = 42272584t633 = 42473245t634 = 42674540t635 = 42876470t636 = 43079036t637 = 43282239t638 = 43486080t639 = 43690560t640 = 43895680
t641 → t650 t641 = 44101441t642 = 44307844t643 = 44514890t644 = 44722580t645 = 44930915t646 = 45139896t647 = 45349524t648 = 45559800t649 = 45770725t650 = 45982300
t651 → t660 t651 = 46194526t652 = 46407404t653 = 46620935t654 = 46835120t655 = 47049960t656 = 47265456t657 = 47481609t658 = 47698420t659 = 47915890t660 = 48134020
t661 → t670 t661 = 48352811t662 = 48572264t663 = 48792380t664 = 49013160t665 = 49234605t666 = 49456716t667 = 49679494t668 = 49902940t669 = 50127055t670 = 50351840
t671 → t680 t671 = 50577296t672 = 50803424t673 = 51030225t674 = 51257700t675 = 51485850t676 = 51714676t677 = 51944179t678 = 52174360t679 = 52405220t680 = 52636760
t681 → t690 t681 = 52868981t682 = 53101884t683 = 53335470t684 = 53569740t685 = 53804695t686 = 54040336t687 = 54276664t688 = 54513680t689 = 54751385t690 = 54989780
t691 → t700 t691 = 55228866t692 = 55468644t693 = 55709115t694 = 55950280t695 = 56192140t696 = 56434696t697 = 56677949t698 = 56921900t699 = 57166550t700 = 57411900

 

Tetraederzahlen von 701 bis 800


Hier finden Sie eine Liste der Tetraederzahlen von 701 bis 800.

t701 → t710 t701 = 57657951t702 = 57904704t703 = 58152160t704 = 58400320t705 = 58649185t706 = 58898756t707 = 59149034t708 = 59400020t709 = 59651715t710 = 59904120
t711 → t720 t711 = 60157236t712 = 60411064t713 = 60665605t714 = 60920860t715 = 61176830t716 = 61433516t717 = 61690919t718 = 61949040t719 = 62207880t720 = 62467440
t721 → t730 t721 = 62727721t722 = 62988724t723 = 63250450t724 = 63512900t725 = 63776075t726 = 64039976t727 = 64304604t728 = 64569960t729 = 64836045t730 = 65102860
t731 → t740 t731 = 65370406t732 = 65638684t733 = 65907695t734 = 66177440t735 = 66447920t736 = 66719136t737 = 66991089t738 = 67263780t739 = 67537210t740 = 67811380
t741 → t750 t741 = 68086291t742 = 68361944t743 = 68638340t744 = 68915480t745 = 69193365t746 = 69471996t747 = 69751374t748 = 70031500t749 = 70312375t750 = 70594000
t751 → t760 t751 = 70876376t752 = 71159504t753 = 71443385t754 = 71728020t755 = 72013410t756 = 72299556t757 = 72586459t758 = 72874120t759 = 73162540t760 = 73451720
t761 → t770 t761 = 73741661t762 = 74032364t763 = 74323830t764 = 74616060t765 = 74909055t766 = 75202816t767 = 75497344t768 = 75792640t769 = 76088705t770 = 76385540
t771 → t780 t771 = 76683146t772 = 76981524t773 = 77280675t774 = 77580600t775 = 77881300t776 = 78182776t777 = 78485029t778 = 78788060t779 = 79091870t780 = 79396460
t781 → t790 t781 = 79701831t782 = 80007984t783 = 80314920t784 = 80622640t785 = 80931145t786 = 81240436t787 = 81550514t788 = 81861380t789 = 82173035t790 = 82485480
t791 → t800 t791 = 82798716t792 = 83112744t793 = 83427565t794 = 83743180t795 = 84059590t796 = 84376796t797 = 84694799t798 = 85013600t799 = 85333200t800 = 85653600

 

Tetraederzahlen von 801 bis 900


Hier finden Sie eine Liste der Tetraederzahlen von 801 bis 900.

t801 → t810 t801 = 85974801t802 = 86296804t803 = 86619610t804 = 86943220t805 = 87267635t806 = 87592856t807 = 87918884t808 = 88245720t809 = 88573365t810 = 88901820
t811 → t820 t811 = 89231086t812 = 89561164t813 = 89892055t814 = 90223760t815 = 90556280t816 = 90889616t817 = 91223769t818 = 91558740t819 = 91894530t820 = 92231140
t821 → t830 t821 = 92568571t822 = 92906824t823 = 93245900t824 = 93585800t825 = 93926525t826 = 94268076t827 = 94610454t828 = 94953660t829 = 95297695t830 = 95642560
t831 → t840 t831 = 95988256t832 = 96334784t833 = 96682145t834 = 97030340t835 = 97379370t836 = 97729236t837 = 98079939t838 = 98431480t839 = 98783860t840 = 99137080
t841 → t850 t841 = 99491141t842 = 99846044t843 = 100201790t844 = 100558380t845 = 100915815t846 = 101274096t847 = 101633224t848 = 101993200t849 = 102354025t850 = 102715700
t851 → t860 t851 = 103078226t852 = 103441604t853 = 103805835t854 = 104170920t855 = 104536860t856 = 104903656t857 = 105271309t858 = 105639820t859 = 106009190t860 = 106379420
t861 → t870 t861 = 106750511t862 = 107122464t863 = 107495280t864 = 107868960t865 = 108243505t866 = 108618916t867 = 108995194t868 = 109372340t869 = 109750355t870 = 110129240
t871 → t880 t871 = 110508996t872 = 110889624t873 = 111271125t874 = 111653500t875 = 112036750t876 = 112420876t877 = 112805879t878 = 113191760t879 = 113578520t880 = 113966160
t881 → t890 t881 = 114354681t882 = 114744084t883 = 115134370t884 = 115525540t885 = 115917595t886 = 116310536t887 = 116704364t888 = 117099080t889 = 117494685t890 = 117891180
t891 → t900 t891 = 118288566t892 = 118686844t893 = 119086015t894 = 119486080t895 = 119887040t896 = 120288896t897 = 120691649t898 = 121095300t899 = 121499850t900 = 121905300

 

Tetraederzahlen von 901 bis 1000


Hier finden Sie eine Liste der Tetraederzahlen von 901 bis 1000.

t901 → t910 t901 = 122311651t902 = 122718904t903 = 123127060t904 = 123536120t905 = 123946085t906 = 124356956t907 = 124768734t908 = 125181420t909 = 125595015t910 = 126009520
t911 → t920 t911 = 126424936t912 = 126841264t913 = 127258505t914 = 127676660t915 = 128095730t916 = 128515716t917 = 128936619t918 = 129358440t919 = 129781180t920 = 130204840
t921 → t930 t921 = 130629421t922 = 131054924t923 = 131481350t924 = 131908700t925 = 132336975t926 = 132766176t927 = 133196304t928 = 133627360t929 = 134059345t930 = 134492260
t931 → t940 t931 = 134926106t932 = 135360884t933 = 135796595t934 = 136233240t935 = 136670820t936 = 137109336t937 = 137548789t938 = 137989180t939 = 138430510t940 = 138872780
t941 → t950 t941 = 139315991t942 = 139760144t943 = 140205240t944 = 140651280t945 = 141098265t946 = 141546196t947 = 141995074t948 = 142444900t949 = 142895675t950 = 143347400
t951 → t960 t951 = 143800076t952 = 144253704t953 = 144708285t954 = 145163820t955 = 145620310t956 = 146077756t957 = 146536159t958 = 146995520t959 = 147455840t960 = 147917120
t961 → t970 t961 = 148379361t962 = 148842564t963 = 149306730t964 = 149771860t965 = 150237955t966 = 150705016t967 = 151173044t968 = 151642040t969 = 152112005t970 = 152582940
t971 → t980 t971 = 153054846t972 = 153527724t973 = 154001575t974 = 154476400t975 = 154952200t976 = 155428976t977 = 155906729t978 = 156385460t979 = 156865170t980 = 157345860
t981 → t990 t981 = 157827531t982 = 158310184t983 = 158793820t984 = 159278440t985 = 159764045t986 = 160250636t987 = 160738214t988 = 161226780t989 = 161716335t990 = 162206880
t991 → t1000 t991 = 162698416t992 = 163190944t993 = 163684465t994 = 164178980t995 = 164674490t996 = 165170996t997 = 165668499t998 = 166167000t999 = 166666500t1000 = 167167000