A166345 - cp's OEIS frontend

A166345 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+2*x+x^2)/(1-x)^4, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	2
6	1
7	1
8	7
9	7
10	1
11	1
12	18
13	42
14	18
15	1
16	1
17	41
18	198
19	198
20	41
21	1
22	1
23	88
24	799
25	1584
26	799
27	88
28	1
29	1
30	183
31	2925
32	10331
33	10331
34	2925
35	183
36	1
37	1
38	374
39	10056
40	58874
41	103310
42	58874
43	10056
44	374
45	1
46	1
47	757
48	33160
49	305888
50	869794
51	869794
52	305888
53	33160
54	757
55	1

[1, 1, 1, 1, 2, 1, 1, 7, 7, 1, 1, 18, 42, 18, 1, 1, 41, 198, 198, 41, 1, 1, 88, 799, 1584, 799, 88, 1, 1, 183, 2925, 10331, 10331, 2925, 183, 1, 1, 374, 10056, 58874, 103310, 58874, 10056, 374, 1, 1, 757, 33160, 305888, 869794, 869794, 305888, 33160, 757, 1]

cp's OEIS Frontend

A166345 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+2*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

cp's OEIS Frontend

A166345 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+2*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

A166345 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+2*x+x^2)/(1-x)^4, read by rows.