A370800 Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x+x^3)) ).

1, 2, 5, 14, 41, 120, 337, 855, 1671, 434, -20393, -158032, -885329, -4322580, -19407365, -81796098, -325964629, -1226861808, -4319079961, -13880383674, -38282558205, -72411121618, 65816173987, 1746824677851, 12859713835981, 73356840199948, 369390356474509

Offset

0,2

Links

Table of n, a(n) for n=0..26.

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. A370799, A370801.

Cf. A063033.

Sequence in context: A116850 A116847 A116848 * A122055 A244885 A116845

Adjacent sequences: A370797 A370798 A370799 * A370801 A370802 A370803

Keyword

sign

Author

Seiichi Manyama, Mar 02 2024

Status

approved