A166344 - cp's OEIS frontend

A166344 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+6*x+x^2)/(1-x)^4, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	6
6	1
7	1
8	15
9	15
10	1
11	1
12	34
13	90
14	34
15	1
16	1
17	73
18	406
19	406
20	73
21	1
22	1
23	152
24	1583
25	3248
26	1583
27	152
28	1
29	1
30	311
31	5661
32	20907
33	20907
34	5661
35	311
36	1
37	1
38	630
39	19160
40	117594
41	209070
42	117594
43	19160
44	630
45	1
46	1
47	1269
48	62520
49	604496
50	1750914
51	1750914
52	604496
53	62520
54	1269
55	1

[1, 1, 1, 1, 6, 1, 1, 15, 15, 1, 1, 34, 90, 34, 1, 1, 73, 406, 406, 73, 1, 1, 152, 1583, 3248, 1583, 152, 1, 1, 311, 5661, 20907, 20907, 5661, 311, 1, 1, 630, 19160, 117594, 209070, 117594, 19160, 630, 1, 1, 1269, 62520, 604496, 1750914, 1750914, 604496, 62520, 1269, 1]

cp's OEIS Frontend

A166344 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+6*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

cp's OEIS Frontend

A166344 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+6*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

A166344 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+6*x+x^2)/(1-x)^4, read by rows.