A334386 - cp's OEIS frontend

A334386 a(n) is the number of ways to choose 3 points in a size n tetrahedral grid in such a way that the three points form an equilateral triangle that touches all four sides of the tetrahedron.

n	a(n)
0	0
1	0
2	4
3	8
4	12
5	16
6	32
7	36
8	28
9	32
10	60
11	100
12	80
13	84
14	64
15	80
16	96
17	88
18	116
19	132
20	172
21	188
22	144
23	208
24	128
25	228
26	112
27	188
28	156
29	268
30	212
31	312
32	196
33	224
34	288
35	328
36	296
37	324
38	232
39	344
40	324
41	412
42	260
43	384
44	244
45	512
46	420
47	364
48	296
49	492
50	316
51	452
52	432
53	556
54	404
55	588

[0, 0, 4, 8, 12, 16, 32, 36, 28, 32, 60, 100, 80, 84, 64, 80, 96, 88, 116, 132, 172, 188, 144, 208, 128, 228, 112, 188, 156, 268, 212, 312, 196, 224, 288, 328, 296, 324, 232, 344, 324, 412, 260, 384, 244, 512, 420, 364, 296, 492, 316, 452, 432, 556, 404, 588]

cp's OEIS Frontend

A334386 a(n) is the number of ways to choose 3 points in a size n tetrahedral grid in such a way that the three points form an equilateral triangle that touches all four sides of the tetrahedron.

Table of values

List of values

n	a(n)
0	0
1	0
2	4
3	8
4	12
5	16
6	32
7	36
8	28
9	32
10	60
11	100
12	80
13	84
14	64
15	80
16	96
17	88
18	116
19	132
20	172
21	188
22	144
23	208
24	128
25	228
26	112
27	188
28	156
29	268
30	212
31	312
32	196
33	224
34	288
35	328
36	296
37	324
38	232
39	344
40	324
41	412
42	260
43	384
44	244
45	512
46	420
47	364
48	296
49	492
50	316
51	452
52	432
53	556
54	404
55	588

n	a(n)
0	0
1	0
2	4
3	8
4	12
5	16
6	32
7	36
8	28
9	32
10	60
11	100
12	80
13	84
14	64
15	80
16	96
17	88
18	116
19	132
20	172
21	188
22	144
23	208
24	128
25	228
26	112
27	188
28	156
29	268
30	212
31	312
32	196
33	224
34	288
35	328
36	296
37	324
38	232
39	344
40	324
41	412
42	260
43	384
44	244
45	512
46	420
47	364
48	296
49	492
50	316
51	452
52	432
53	556
54	404
55	588

n	a(n)
0	0
1	0
2	4
3	8
4	12
5	16
6	32
7	36
8	28
9	32
10	60
11	100
12	80
13	84
14	64
15	80
16	96
17	88
18	116
19	132
20	172
21	188
22	144
23	208
24	128
25	228
26	112
27	188
28	156
29	268
30	212
31	312
32	196
33	224
34	288
35	328
36	296
37	324
38	232
39	344
40	324
41	412
42	260
43	384
44	244
45	512
46	420
47	364
48	296
49	492
50	316
51	452
52	432
53	556
54	404
55	588