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A366055 Expansion of (1/x) * Series_Reversion( x*(1-x)^3/(1-x+x^4) ). 3

%I #8 Sep 27 2023 10:06:22

%S 1,2,7,30,144,741,3996,22287,127494,743919,4410255,26489073,160843708,

%T 985729010,6089215057,37875775533,237021929322,1491204370335,

%U 9426547131330,59843910602283,381378377720469,2438954925930558,15646857920046108

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

%F a(n) = (1/(n+1)) * Sum_{k=0..floor(n/4)} binomial(n+1,k) * binomial(3*n-3*k+1,n-4*k).

%o (PARI) a(n) = sum(k=0, n\4, binomial(n+1, k)*binomial(3*n-3*k+1, n-4*k))/(n+1);

%Y Cf. A215341, A366054, A366056.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Sep 27 2023

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Last modified September 8 06:01 EDT 2024. Contains 375751 sequences. (Running on oeis4.)