A157212 - cp's OEIS frontend

A157212 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) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	24
8	24
9	1
10	1
11	103
12	306
13	103
14	1
15	1
16	422
17	3028
18	3028
19	422
20	1
21	1
22	1701
23	26064
24	57806
25	26064
26	1701
27	1
28	1
29	6820
30	207132
31	889640
32	889640
33	207132
34	6820
35	1
36	1
37	27299
38	1569298
39	11975936
40	22436968
41	11975936
42	1569298
43	27299
44	1
45	1
46	109218
47	11544744
48	147711834
49	472619880
50	472619880
51	147711834
52	11544744
53	109218
54	1

[1, 1, 1, 1, 5, 1, 1, 24, 24, 1, 1, 103, 306, 103, 1, 1, 422, 3028, 3028, 422, 1, 1, 1701, 26064, 57806, 26064, 1701, 1, 1, 6820, 207132, 889640, 889640, 207132, 6820, 1, 1, 27299, 1569298, 11975936, 22436968, 11975936, 1569298, 27299, 1, 1, 109218, 11544744, 147711834, 472619880, 472619880, 147711834, 11544744, 109218, 1]

cp's OEIS Frontend

A157212 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) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157212 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) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows.

Table of values

List of values

A157212 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) = k if k <= floor(n/2) otherwise n-k, and m = 3, read by rows.