A166343 - cp's OEIS frontend

A166343 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+12*x+x^2)/(1-x)^4, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	12
6	1
7	1
8	27
9	27
10	1
11	1
12	58
13	162
14	58
15	1
16	1
17	121
18	718
19	718
20	121
21	1
22	1
23	248
24	2759
25	5744
26	2759
27	248
28	1
29	1
30	503
31	9765
32	36771
33	36771
34	9765
35	503
36	1
37	1
38	1014
39	32816
40	205674
41	367710
42	205674
43	32816
44	1014
45	1
46	1
47	2037
48	106560
49	1052408
50	3072594
51	3072594
52	1052408
53	106560
54	2037
55	1

[1, 1, 1, 1, 12, 1, 1, 27, 27, 1, 1, 58, 162, 58, 1, 1, 121, 718, 718, 121, 1, 1, 248, 2759, 5744, 2759, 248, 1, 1, 503, 9765, 36771, 36771, 9765, 503, 1, 1, 1014, 32816, 205674, 367710, 205674, 32816, 1014, 1, 1, 2037, 106560, 1052408, 3072594, 3072594, 1052408, 106560, 2037, 1]

cp's OEIS Frontend

A166343 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+12*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

cp's OEIS Frontend

A166343 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+12*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

A166343 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+12*x+x^2)/(1-x)^4, read by rows.