A265649 - cp's OEIS frontend

A265649 Triangle of coefficients T(n,k) of polynomials p(n,x) = Sum_{k=0..n} T(n,k)x^k where T(0,0) = 1, and T(n,k) = 0 for k < 0 or k > n, and T(n,k) = T(n-1,k-1) + (2n-1+k)*T(n-1,k) for n > 0 and 0 <= k <= n.

n	a(n)
0	1
1	1
2	1
3	3
4	5
5	1
6	15
7	33
8	12
9	1
10	105
11	279
12	141
13	22
14	1
15	945
16	2895
17	1830
18	405
19	35
20	1
21	10395
22	35685
23	26685
24	7500
25	930
26	51
27	1
28	135135
29	509985
30	435960
31	146685
32	23310
33	1848
34	70
35	1
36	2027025
37	8294895
38	7921305
39	3076290
40	589575
41	60270
42	3318
43	92
44	1
45	34459425
46	151335135
47	158799690
48	69447105
49	15457365
50	1915515
51	136584
52	5526
53	117
54	1

[1, 1, 1, 3, 5, 1, 15, 33, 12, 1, 105, 279, 141, 22, 1, 945, 2895, 1830, 405, 35, 1, 10395, 35685, 26685, 7500, 930, 51, 1, 135135, 509985, 435960, 146685, 23310, 1848, 70, 1, 2027025, 8294895, 7921305, 3076290, 589575, 60270, 3318, 92, 1, 34459425, 151335135, 158799690, 69447105, 15457365, 1915515, 136584, 5526, 117, 1]

cp's OEIS Frontend

A265649 Triangle of coefficients T(n,k) of polynomials p(n,x) = Sum_{k=0..n} T(n,k)x^k where T(0,0) = 1, and T(n,k) = 0 for k < 0 or k > n, and T(n,k) = T(n-1,k-1) + (2n-1+k)*T(n-1,k) for n > 0 and 0 <= k <= n.

Table of values

List of values

cp's OEIS Frontend

A265649 Triangle of coefficients T(n,k) of polynomials p(n,x) = Sum_{k=0..n} T(n,k)*x^k where T(0,0) = 1, and T(n,k) = 0 for k < 0 or k > n, and T(n,k) = T(n-1,k-1) + (2*n-1+k)*T(n-1,k) for n > 0 and 0 <= k <= n.

Table of values

List of values

A265649 Triangle of coefficients T(n,k) of polynomials p(n,x) = Sum_{k=0..n} T(n,k)x^k where T(0,0) = 1, and T(n,k) = 0 for k < 0 or k > n, and T(n,k) = T(n-1,k-1) + (2n-1+k)*T(n-1,k) for n > 0 and 0 <= k <= n.