A157210 - cp's OEIS frontend

A157210 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 = 1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	3
5	1
6	1
7	8
8	8
9	1
10	1
11	19
12	42
13	19
14	1
15	1
16	42
17	186
18	186
19	42
20	1
21	1
22	89
23	730
24	1362
25	730
26	89
27	1
28	1
29	184
30	2640
31	8540
32	8540
33	2640
34	184
35	1
36	1
37	375
38	9030
39	47810
40	79952
41	47810
42	9030
43	375
44	1
45	1
46	758
47	29722
48	246530
49	652460
50	652460
51	246530
52	29722
53	758
54	1

[1, 1, 1, 1, 3, 1, 1, 8, 8, 1, 1, 19, 42, 19, 1, 1, 42, 186, 186, 42, 1, 1, 89, 730, 1362, 730, 89, 1, 1, 184, 2640, 8540, 8540, 2640, 184, 1, 1, 375, 9030, 47810, 79952, 47810, 9030, 375, 1, 1, 758, 29722, 246530, 652460, 652460, 246530, 29722, 758, 1]

cp's OEIS Frontend

A157210 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 = 1, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157210 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 = 1, read by rows.

Table of values

List of values

A157210 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 = 1, read by rows.