A333097 - cp's OEIS frontend

A333097 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(5n) evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4x))/(2*x) is the o.g.f. of the sequence of Catalan numbers A000108.

n	a(n)
0	1
1	6
2	76
3	1101
4	16876
5	266881
6	4305247
7	70414133
8	1163355884
9	19369868385
10	324486751951
11	5462851474614
12	92346622131103
13	1566455916243068
14	26649562889363259
15	454528917186429226
16	7769463895152496364
17	133064720735632286722
18	2282869928179537263601
19	39225214245206751480102

[1, 6, 76, 1101, 16876, 266881, 4305247, 70414133, 1163355884, 19369868385, 324486751951, 5462851474614, 92346622131103, 1566455916243068, 26649562889363259, 454528917186429226, 7769463895152496364, 133064720735632286722, 2282869928179537263601, 39225214245206751480102]

cp's OEIS Frontend

A333097 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(5n) evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4x))/(2*x) is the o.g.f. of the sequence of Catalan numbers A000108.

Table of values

List of values

cp's OEIS Frontend

A333097 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(5*n) evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4*x))/(2*x) is the o.g.f. of the sequence of Catalan numbers A000108.

Table of values

List of values

A333097 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(5n) evaluated at x = 1, where c(x) = (1 - sqrt(1 - 4x))/(2*x) is the o.g.f. of the sequence of Catalan numbers A000108.