A370797 - OEIS

A370797

Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x-x^3)) ).

1, 2, 5, 16, 61, 256, 1133, 5191, 24403, 117066, 570835, 2821026, 14097839, 71121660, 361718339, 1852640518, 9547375955, 49469352300, 257564997407, 1346840074300, 7070283106575, 37246786128714, 196849114734855, 1043398553112059, 5545408681615257

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..24.

Index entries for reversions of series

FORMULA

a(n) = Sum_{k=0..n} binomial(n,k) * b(k), where g.f. B(x) = Sum_{k>=0} b(k)*x^k satisfies B(x) = (1/x) * Series_Reversion( x*(1-x-x^3) ).

PROG

(PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x/(x+1/(1-x-x^3)))/x)

CROSSREFS

Cf. A218225, A370798.

Cf. A049140.

Sequence in context: A012159 A009736 A349458 * A307228 A104858 A351143

Adjacent sequences: A370794 A370795 A370796 * A370798 A370799 A370800

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Mar 02 2024

STATUS

approved