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%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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