A362155 Expansion of 1/(1 + x * (1-9*x)^(1/3)).
1, -1, 4, 2, 46, 221, 1627, 11312, 83704, 631433, 4868920, 38137757, 302694082, 2428593929, 19664122513, 160464212831, 1318266144163, 10893680220326, 90486907158265, 755060334587576, 6326283013232206, 53199259567645709, 448846559987031064
Offset: 0
Programs
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PARI
my(N=30, x='x+O('x^N)); Vec(1/(1+x*(1-9*x)^(1/3)))
Formula
a(n) = (-1)^n * Sum_{k=0..n} 9^k * binomial((n-k)/3,k).
a(n) ~ 3^(2*n-3) / (Gamma(2/3) * n^(4/3)). - Vaclav Kotesovec, Apr 10 2023