居中单纯形数公式和值
d日
|
姓名 d日-单工 d日+1 (d日-1) -电池 (N个0,N个1,N个2, ...) Schläfli符号[4]
|
公式
|
n个= 0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
组织环境信息系统 数
|
1
|
居中的两级gnomonic
1-单工 双0细胞 (2) {}
|
奇数
|
1 |
3 |
5 |
7 |
9 |
11 |
13 |
15 |
17 |
19 |
21 |
23 |
25 |
A005408号
|
2
|
居中三角形
2-单工 三-1-细胞 (3, 3) {3}
|
|
1 |
4 |
10 |
19 |
31 |
46 |
64 |
85 |
109 |
136 |
166 |
199 |
235 |
A005448号
|
3
|
中心四面体
3-单工 四2-细胞 (4, 6, 4) {3, 3}
|
|
1 |
5 |
15 |
35 |
69 |
121 |
195 |
295 |
425 |
589 |
791 |
1035 |
1325 |
A005894号
|
4
|
居中五弦琴
4-简单 五三电池 (5, 10, 10, 5) {3,3,3}
|
|
1 |
6 |
21 |
56 |
126 |
251 |
456 |
771 |
1231 |
1876 |
2751 |
3906 |
5396 |
A008498元
|
5
|
居中的六角龙
5-单工 六角四格 (6, 15, 20, 15, 6) {3, 3, 3, 3}
|
|
1 |
7 |
28 |
84 |
210 |
462 |
923 |
1709 |
2975 |
4921 |
7798 |
11914 |
17640 |
A008499号
|
6
|
居中七面体
6-单工 七-5细胞 (7, 21, 35, 35, 21, 7) {3, 3, 3, 3, 3}
|
|
1 |
8 |
36 |
120 |
330 |
792 |
1716 |
3431 |
6427 |
11404 |
19328 |
31494 |
49596 |
A008500型
|
7
|
中心八面体
7-单工 八个六细胞 (8, 28, 56, 70, 56, 28, 8) {3, 3, 3, 3, 3, 3}
|
|
1 |
9 |
45 |
165 |
495 |
1287 |
3003 |
6435 |
12869 |
24301 |
43713 |
75417 |
125475 |
A008501号
|
8
|
中心enneahepton
8-单工 非7细胞 (9, 36, 84, 126, 126, 84, 36, 9) {3, 3, 3, 3, 3, 3, 3}
|
|
1 |
10 |
55 |
220 |
715 |
2002 |
5005 |
11440 |
24310 |
48619 |
92368 |
167905 |
293710 |
A008502号
|
9
|
中心十辛烯
9-单工 十进制-8细胞 (10, 45, 120, 210, 252, 210, 120, 45, 10) {3, 3, 3, 3, 3, 3, 3, 3}
|
|
1 |
11 |
66 |
286 |
1001 |
3003 |
8008 |
19448 |
43758 |
92378 |
184755 |
352705 |
646580 |
A008503号
|
10
|
居中hendecaenneon
10-单工 亨德卡-9细胞 (11, 55, 165, 330, 462, 462, 330, 165, 55, 11) {3, 3, 3, 3, 3, 3, 3, 3, 3}
|
|
1 |
12 |
78 |
364 |
1365 |
4368 |
12376 |
31824 |
75582 |
167960 |
352716 |
705431 |
1352066 |
A008504号
|
11
|
中心十二分度
11单工 十二碳十细胞 (12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12) {3, 3, 3, 3, 3, 3, 3, 3, 3, 3}
|
|
1 |
13 |
91 |
455 |
1820 |
6188 |
18564 |
50388 |
125970 |
293930 |
646646 |
1352078 |
2704155 |
A008505号
|
12
|
中心十三进制
12-单工 十进制-11细胞 (13, ...帕斯卡三角形13第个行。。。,13) {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3}
|
|
1 |
14 |
105 |
560 |
2380 |
8568 |
27132 |
77520 |
203490 |
497420 |
1144066 |
2496144 |
5200300 |
A008506号
|
居中单纯形数相关公式和值
d日
|
姓名 d日-单工 d日+1 (d日-1) -电池 (N个0,N个1,N个2, ...) Schläfli符号[4]
|
生成 功能
|
订单 的基础
[3][5][6]
|
差异
|
部分金额
|
部分倒数和
|
倒数总和[7]
|
1
|
居中的两级gnomonic
1-单工 双0细胞 (2) {}
|
|
|
|
|
|
|
2
|
居中三角形
2-单工 三-1-细胞 (3, 3) {3}
|
|
|
|
|
|
|
3
|
中心四面体
3-单工 四2-细胞 (4, 6, 4) {3, 3}
|
|
|
|
|
|
|
4
|
居中五弦琴
4-单工 五-3-细胞 (5, 10, 10, 5) {3, 3, 3}
|
|
|
|
|
|
|
5
|
居中的六角龙
5-单工 六角四格 (6, 15, 20, 15, 6) {3, 3, 3, 3}
|
|
|
|
|
|
|
6
|
居中七面体
6-单工 七-5细胞 (7, 21, 35, 35, 21, 7) {3, 3, 3, 3, 3}
|
|
|
|
|
|
|
7
|
中心八面体
7-单工 八个六细胞 (8, 28, 56, 70, 56, 28, 8) {3, 3, 3, 3, 3, 3}
|
|
|
|
|
|
|
8
|
中心enneahepton
8-单工 非7细胞 (9, 36, 84, 126, 126, 84, 36, 9) {3, 3, 3, 3, 3, 3, 3}
|
|
|
|
|
|
|
9
|
以十碳为中心
9-单工 十进制-8细胞 (10、45、120、210、252、210、120、45、10) {3, 3, 3, 3, 3, 3, 3, 3}
|
|
|
|
|
|
|
10
|
中心hendecaenneon
10-单工 亨德卡-9细胞 (11, 55, 165, 330, 462, 462, 330, 165, 55, 11) {3, 3, 3, 3, 3, 3, 3, 3, 3}
|
|
|
|
|
|
|
11
|
中心十二分度
11-单工 十二碳十细胞 (12, 66, 220, 495, 792, 924, 792, 495, 220, 66, 12) {3, 3, 3, 3, 3, 3, 3, 3, 3, 3}
|
|
|
|
|
|
|
12
|
中心十三进制
12-单工 十进制-11细胞 (13,…帕斯卡三角形13第个行。。。,13) {3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3}
|
|
|
|
|
|
|
居中单纯形多面体数列
d日
|
序列 |
2
|
{1, 4, 10, 19, 31, 46, 64, 85, 109, 136, 166, 199, 235, 274, 316, 361, 409, 460, 514, 571, 631, 694, 760, 829, 901, 976, 1054, 1135, 1219, 1306, 1396, 1489, 1585, 1684, ...} |
3
|
{1, 5, 15, 35, 69, 121, 195, 295, 425, 589, 791, 1035, 1325, 1665, 2059, 2511, 3025, 3605, 4255, 4979, 5781, 6665, 7635, 8695, 9849, 11101, 12455, 13915, 15485, 17169, ...} |
4
|
{1,6,21,56,126,251,456,771,1231,1876,2751,3906,5396,7281,9626,12501,15981,20146,25081,30876,37626,45431,54396,64631,76251,89376,104131,…} |
5
|
{1, 7, 28, 84, 210, 462, 923, 1709, 2975, 4921, 7798, 11914, 17640, 25416, 35757, 49259, 66605, 88571, 116032, 149968, 191470, 241746, 302127, 374073, 459179, 559181, ...} |
6
|
{1, 8, 36, 120, 330, 792, 1716, 3431, 6427, 11404, 19328, 31494, 49596, 75804, 112848, 164109, 233717, 326656, 448876, 607412, 810510, 1067760, 1390236, 1790643, ...} |
7
|
{1,9,45,165,495,1287,3003,6435,12869,24301,43713,75417,125475,202203,316767,483879,722601,1057265,1518517,2144493,2982135,4088655,5533155,…} |
8
|
{1, 10, 55, 220, 715, 2002, 5005, 11440, 24310, 48619, 92368, 167905, 293710, 496705, 815188, 1302499, 2031535, 3100240, 4638205, 6814522, 9847045, 14013220, ...} |
9
|
{1, 11, 66, 286, 1001, 3003, 8008, 19448, 43758, 92378, 184755, 352705, 646580, 1143780, 1960255, 3265757, 5303727, 8416837, 13079352, 19937632, 29860259, 43999449, ...} |
10
|
{1, 12, 78, 364, 1365, 4368, 12376, 31824, 75582, 167960, 352716, 705431, 1352066, 2496066, 4457036, 7724795, 13033527, 21461804, 34565466, 54551718, 84504355, ...} |
11
|
{1, 13, 91, 455, 1820, 6188, 18564, 50388, 125970, 293930, 646646, 1352078, 2704155, 5200287, 9657609, 17383405, 30419935, 51889747, 86474661, 141070137, ...} |
12
|
{1, 14, 105, 560, 2380, 8568, 27132, 77520, 203490, 497420, 1144066, 2496144, 5200300, 10400599, 20058286, 37442055, 67863355, 119757470, 206244507, 347346468, ...} |