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Expansion of 1/(2 - (1 + 9*x)^(1/3)).
1

%I #12 Aug 04 2024 10:15:13

%S 1,3,0,18,-81,567,-3888,28188,-209952,1600398,-12417786,97750152,

%T -778646358,6264403434,-50826308652,415388851020,-3416382463113,

%U 28254462711543,-234821716366914,1960141044056202,-16426217919609621,138140613244558143,-1165452696039219804

%N Expansion of 1/(2 - (1 + 9*x)^(1/3)).

%F a(n) = 9^n * Sum_{k>=0} (1/2)^(k+1) * binomial(k/3,n).

%o (PARI) my(N=30, x='x+O('x^N)); Vec(1/(2-(1+9*x)^(1/3)))

%Y Cf. A001019, A373714.

%K sign,easy

%O 0,2

%A _Seiichi Manyama_, Aug 04 2024