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Expansion of 1 / ( (1 - x)*(1 + 2*x)*(1 - 4*x) )^(1/3).
0

%I #9 Mar 10 2024 09:25:27

%S 1,1,4,10,37,121,442,1576,5818,21466,80272,301324,1138762,4320226,

%T 16459132,62904664,241134553,926678569,3569385772,13776307714,

%U 53267766997,206304355225,800203300354,3108008802064,12086612436376,47056902019336,183400211694496

%N Expansion of 1 / ( (1 - x)*(1 + 2*x)*(1 - 4*x) )^(1/3).

%F a(n) ~ 2^(2*n+1) / (Gamma(1/3) * 3^(2/3) * n^(2/3)). - _Vaclav Kotesovec_, Mar 10 2024

%o (PARI) my(N=30, x='x+O('x^N)); Vec(1/((1-x)*(1+2*x)*(1-4*x))^(1/3))

%Y Cf. A370145.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Mar 01 2024