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
Offset: 0
Keywords
Programs
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PARI
my(N=30, x='x+O('x^N)); Vec(serreverse(x/(x+1/(1-x-x^3)))/x)
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) ).