A157211 - cp's OEIS frontend

A157211 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 = 2, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	4
5	1
6	1
7	15
8	15
9	1
10	1
11	50
12	134
13	50
14	1
15	1
16	157
17	960
18	960
19	157
20	1
21	1
22	480
23	6013
24	12636
25	6013
26	480
27	1
28	1
29	1451
30	34717
31	136809
32	136809
33	34717
34	1451
35	1
36	1
37	4366
38	190528
39	1303472
40	2361474
41	1303472
42	190528
43	4366
44	1
45	1
46	13113
47	1012326
48	11392866
49	34496986
50	34496986
51	11392866
52	1012326
53	13113
54	1

[1, 1, 1, 1, 4, 1, 1, 15, 15, 1, 1, 50, 134, 50, 1, 1, 157, 960, 960, 157, 1, 1, 480, 6013, 12636, 6013, 480, 1, 1, 1451, 34717, 136809, 136809, 34717, 1451, 1, 1, 4366, 190528, 1303472, 2361474, 1303472, 190528, 4366, 1, 1, 13113, 1012326, 11392866, 34496986, 34496986, 11392866, 1012326, 13113, 1]

cp's OEIS Frontend

A157211 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 = 2, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157211 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 = 2, read by rows.

Table of values

List of values

A157211 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 = 2, read by rows.