A166340 - cp's OEIS frontend

A166340 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+8*x+x^2)/(1-x)^4, read by rows.

n	a(n)
1	1
2	1
3	1
4	1
5	8
6	1
7	1
8	19
9	19
10	1
11	1
12	42
13	114
14	42
15	1
16	1
17	89
18	510
19	510
20	89
21	1
22	1
23	184
24	1975
25	4080
26	1975
27	184
28	1
29	1
30	375
31	7029
32	26195
33	26195
34	7029
35	375
36	1
37	1
38	758
39	23712
40	146954
41	261950
42	146954
43	23712
44	758
45	1
46	1
47	1525
48	77200
49	753800
50	2191474
51	2191474
52	753800
53	77200
54	1525
55	1

[1, 1, 1, 1, 8, 1, 1, 19, 19, 1, 1, 42, 114, 42, 1, 1, 89, 510, 510, 89, 1, 1, 184, 1975, 4080, 1975, 184, 1, 1, 375, 7029, 26195, 26195, 7029, 375, 1, 1, 758, 23712, 146954, 261950, 146954, 23712, 758, 1, 1, 1525, 77200, 753800, 2191474, 2191474, 753800, 77200, 1525, 1]

cp's OEIS Frontend

A166340 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+8*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

cp's OEIS Frontend

A166340 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+8*x+x^2)/(1-x)^4, read by rows.

Table of values

List of values

A166340 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+8*x+x^2)/(1-x)^4, read by rows.