A157278 - cp's OEIS frontend

A157278 Triangle T(n, k, m) = (m(n-k) + 1)T(n-1, k-1, m) + (mk + 1)T(n-1, k, m) + mf(n,k)T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2k if k <= floor(n/2) otherwise 2(n-k), and m = 3, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	14
5	1
6	1
7	69
8	69
9	1
10	1
11	292
12	1134
13	292
14	1
15	1
16	1187
17	11686
18	11686
19	1187
20	1
21	1
22	4770
23	100737
24	254132
25	100737
26	4770
27	1
28	1
29	19105
30	795723
31	4061249
32	4061249
33	795723
34	19105
35	1
36	1
37	76448
38	5990296
39	55157324
40	111691642
41	55157324
42	5990296
43	76448
44	1

[1, 1, 1, 1, 14, 1, 1, 69, 69, 1, 1, 292, 1134, 292, 1, 1, 1187, 11686, 11686, 1187, 1, 1, 4770, 100737, 254132, 100737, 4770, 1, 1, 19105, 795723, 4061249, 4061249, 795723, 19105, 1, 1, 76448, 5990296, 55157324, 111691642, 55157324, 5990296, 76448, 1]

cp's OEIS Frontend

A157278 Triangle T(n, k, m) = (m(n-k) + 1)T(n-1, k-1, m) + (mk + 1)T(n-1, k, m) + mf(n,k)T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2k if k <= floor(n/2) otherwise 2(n-k), and m = 3, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157278 Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) + m*f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2*k if k <= floor(n/2) otherwise 2*(n-k), and m = 3, read by rows.

Table of values

List of values

A157278 Triangle T(n, k, m) = (m(n-k) + 1)T(n-1, k-1, m) + (mk + 1)T(n-1, k, m) + mf(n,k)T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2k if k <= floor(n/2) otherwise 2(n-k), and m = 3, read by rows.