A157523 - cp's OEIS frontend

A157523 Triangle T(n, k, q) = (q(n-k) +1)T(n-1, k-1, q) + (qk+1)T(n-1, k, q) + qA157522(n, k)T(n-2, k-1, q), with T(n, 0, q) = T(n, n, q) = 1 and q = 1, read by rows.

n	a(n)
0	1
1	1
2	1
3	1
4	5
5	1
6	1
7	15
8	15
9	1
10	1
11	37
12	95
13	37
14	1
15	1
16	82
17	463
18	463
19	82
20	1
21	1
22	173
23	1910
24	3799
25	1910
26	173
27	1
28	1
29	356
30	7096
31	25672
32	25672
33	7096
34	356
35	1
36	1
37	723
38	24645
39	150994
40	260519
41	150994
42	24645
43	723
44	1
45	1
46	1458
47	81499
48	804875
49	2259903
50	2259903
51	804875
52	81499
53	1458
54	1

[1, 1, 1, 1, 5, 1, 1, 15, 15, 1, 1, 37, 95, 37, 1, 1, 82, 463, 463, 82, 1, 1, 173, 1910, 3799, 1910, 173, 1, 1, 356, 7096, 25672, 25672, 7096, 356, 1, 1, 723, 24645, 150994, 260519, 150994, 24645, 723, 1, 1, 1458, 81499, 804875, 2259903, 2259903, 804875, 81499, 1458, 1]

cp's OEIS Frontend

A157523 Triangle T(n, k, q) = (q(n-k) +1)T(n-1, k-1, q) + (qk+1)T(n-1, k, q) + qA157522(n, k)T(n-2, k-1, q), with T(n, 0, q) = T(n, n, q) = 1 and q = 1, read by rows.

Table of values

List of values

cp's OEIS Frontend

A157523 Triangle T(n, k, q) = (q*(n-k) +1)*T(n-1, k-1, q) + (q*k+1)*T(n-1, k, q) + q*A157522(n, k)*T(n-2, k-1, q), with T(n, 0, q) = T(n, n, q) = 1 and q = 1, read by rows.

Table of values

List of values

A157523 Triangle T(n, k, q) = (q(n-k) +1)T(n-1, k-1, q) + (qk+1)T(n-1, k, q) + qA157522(n, k)T(n-2, k-1, q), with T(n, 0, q) = T(n, n, q) = 1 and q = 1, read by rows.