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 A366053 Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1-x+x^3) ). 3

%I #8 Sep 27 2023 10:06:47

%S 1,3,15,92,628,4579,34917,275041,2220472,18275896,152780718,

%T 1293657534,11072033677,95629771059,832460471465,7296161486583,

%U 64331378963164,570228657335744,5078345448484216,45418278349485960,407749837317844851,3673300856466182388

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

%F a(n) = (1/(n+1)) * Sum_{k=0..floor(n/3)} binomial(n+1,k) * binomial(4*n-2*k+2,n-3*k).

%o (PARI) a(n) = sum(k=0, n\3, binomial(n+1, k)*binomial(4*n-2*k+2, n-3*k))/(n+1);

%Y Cf. A049128, A114997, A366051, A366052.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Sep 27 2023

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Last modified September 18 08:17 EDT 2024. Contains 375997 sequences. (Running on oeis4.)