A364401 - cp's OEIS frontend

A364401 a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments.

n	a(n)
1	1
2	15
3	65
4	174
5	365
6	661
7	1085
8	1660
9	2409
10	3355
11	4521
12	5930
13	7605
14	9569
15	11845
16	14456
17	17425
18	20775
19	24529
20	28710
21	33341
22	38445
23	44045
24	50164
25	56825
26	64051
27	71865
28	80290
29	89349
30	99065
31	109461
32	120560
33	132385
34	144959
35	158305
36	172446
37	187405
38	203205
39	219869
40	237420
41	255881
42	275275
43	295625
44	316954

[1, 15, 65, 174, 365, 661, 1085, 1660, 2409, 3355, 4521, 5930, 7605, 9569, 11845, 14456, 17425, 20775, 24529, 28710, 33341, 38445, 44045, 50164, 56825, 64051, 71865, 80290, 89349, 99065, 109461, 120560, 132385, 144959, 158305, 172446, 187405, 203205, 219869, 237420, 255881, 275275, 295625, 316954]

cp's OEIS Frontend

A364401 a(n) is the number of regions into which three-dimensional Euclidean space is divided by n-1 planes parallel to each face of a regular tetrahedron with edge length n, dividing the edges into unit segments.

Table of values

List of values