A333096 - cp's OEIS frontend

A333096 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(4n) 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	5
2	53
3	647
4	8373
5	111880
6	1525511
7	21093476
8	294663349
9	4148593604
10	58770091928
11	836722722951
12	11961868391175
13	171601856667701
14	2469036254872996
15	35615467194043147
16	514888180699419829
17	7458193213805231529
18	108219144962546395364
19	1572690742149983040857

[1, 5, 53, 647, 8373, 111880, 1525511, 21093476, 294663349, 4148593604, 58770091928, 836722722951, 11961868391175, 171601856667701, 2469036254872996, 35615467194043147, 514888180699419829, 7458193213805231529, 108219144962546395364, 1572690742149983040857]

cp's OEIS Frontend

A333096 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(4n) 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

A333096 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(4*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

A333096 a(n) = the n-th order Taylor polynomial (centered at 0) of c(x)^(4n) 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.