A166341 - cp's OEIS frontend

A166341 Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)p(n, x)/x, p(n, x) = xD( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x(1+x)/(1-x)^3, and p(3, x) = x(1+10*x+x^2)/(1-x)^4, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	10
6	1
7	1
8	23
9	23
10	1
11	1
12	50
13	138
14	50
15	1
16	1
17	105
18	614
19	614
20	105
21	1
22	1
23	216
24	2367
25	4912
26	2367
27	216
28	1
29	1
30	439
31	8397
32	31483
33	31483
34	8397
35	439
36	1
37	1
38	886
39	28264
40	176314
41	314830
42	176314
43	28264
44	886
45	1
46	1
47	1781
48	91880
49	903104
50	2632034
51	2632034
52	903104
53	91880
54	1781
55	1

[1, 1, 1, 1, 10, 1, 1, 23, 23, 1, 1, 50, 138, 50, 1, 1, 105, 614, 614, 105, 1, 1, 216, 2367, 4912, 2367, 216, 1, 1, 439, 8397, 31483, 31483, 8397, 439, 1, 1, 886, 28264, 176314, 314830, 176314, 28264, 886, 1, 1, 1781, 91880, 903104, 2632034, 2632034, 903104, 91880, 1781, 1]

cp's OEIS Frontend

A166341 Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)p(n, x)/x, p(n, x) = xD( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x(1+x)/(1-x)^3, and p(3, x) = x(1+10*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

cp's OEIS Frontend

A166341 Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)*p(n, x)/x, p(n, x) = x*D( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x*(1+x)/(1-x)^3, and p(3, x) = x*(1+10*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

A166341 Triangle T(n, k) = coefficients of ( t(n, x) ) where t(n, x) = (1-x)^(n+1)p(n, x)/x, p(n, x) = xD( p(n-1, x) ), with p(1, x) = x/(1-x)^2, p(2, x) = x(1+x)/(1-x)^3, and p(3, x) = x(1+10*x+x^2)/(1-x)^4, read by rows.