A216173 - cp's OEIS frontend

A216173 Number of all possible tetrahedra of any size and orientation, formed when intersecting the original regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.

n	a(n)
1	1
2	5
3	16
4	39
5	80
6	147
7	249
8	396
9	600
10	874
11	1232
12	1690
13	2265
14	2975
15	3840
16	4881
17	6120
18	7581
19	9289
20	11270
21	13552
22	16164
23	19136
24	22500
25	26289
26	30537
27	35280
28	40555
29	46400
30	52855
31	59961
32	67760
33	76296
34	85614
35	95760
36	106782
37	118729
38	131651
39	145600
40	160629
41	176792

[1, 5, 16, 39, 80, 147, 249, 396, 600, 874, 1232, 1690, 2265, 2975, 3840, 4881, 6120, 7581, 9289, 11270, 13552, 16164, 19136, 22500, 26289, 30537, 35280, 40555, 46400, 52855, 59961, 67760, 76296, 85614, 95760, 106782, 118729, 131651, 145600, 160629, 176792]

cp's OEIS Frontend

A216173 Number of all possible tetrahedra of any size and orientation, formed when intersecting the original regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts.

Table of values

List of values