A362157 - OEIS

%I #9 Apr 10 2023 10:51:41

%S -1,-1,2,14,62,317,1967,13544,98012,731273,5581682,43377617,342035204,

%T 2729286017,21996002729,178769985791,1463465010995,12055667829734,

%U 99858109234379,831150925169516,6947819513136614,58303331305857293,490961900646977570

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

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

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

%Y Cf. A004987, A362156.

%K sign,easy

%O 0,3

%A _Seiichi Manyama_, Apr 09 2023