A157272 - cp's OEIS frontend

A157272 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+1 if k <= floor(n/2) otherwise 2(n-k)+1, and m = 1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	7
5	1
6	1
7	20
8	20
9	1
10	1
11	47
12	155
13	47
14	1
15	1
16	102
17	753
18	753
19	102
20	1
21	1
22	213
23	3004
24	7109
25	3004
26	213
27	1
28	1
29	436
30	10800
31	48727
32	48727
33	10800
34	436
35	1
36	1
37	883
38	36517
39	280736
40	551251
41	280736
42	36517
43	883
44	1
45	1
46	1778
47	118795
48	1454163
49	4879214
50	4879214
51	1454163
52	118795
53	1778
54	1

[1, 1, 1, 1, 7, 1, 1, 20, 20, 1, 1, 47, 155, 47, 1, 1, 102, 753, 753, 102, 1, 1, 213, 3004, 7109, 3004, 213, 1, 1, 436, 10800, 48727, 48727, 10800, 436, 1, 1, 883, 36517, 280736, 551251, 280736, 36517, 883, 1, 1, 1778, 118795, 1454163, 4879214, 4879214, 1454163, 118795, 1778, 1]

cp's OEIS Frontend

A157272 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+1 if k <= floor(n/2) otherwise 2(n-k)+1, and m = 1, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157272 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+1 if k <= floor(n/2) otherwise 2*(n-k)+1, and m = 1, read by rows.

Table of values

List of values

A157272 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+1 if k <= floor(n/2) otherwise 2(n-k)+1, and m = 1, read by rows.