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%I #10 Sep 16 2023 10:43:44
%S 1,0,0,0,0,1,1,1,1,1,6,12,19,27,36,81,177,341,592,951,1726,3417,6766,
%T 12812,22951,41531,78222,151291,291957,550015,1024683,1924543,3671017,
%U 7063893,13532120,25730347,48840523,93154161,178806493,343926597,660308308,1265195467
%N G.f. satisfies A(x) = 1 + x^5*A(x)^5 / (1 - x*A(x)).
%F a(n) = (1/(n+1)) * Sum_{k=0..floor(n/5)} binomial(n-4*k-1,n-5*k) * binomial(n+1,k).
%o (PARI) a(n) = sum(k=0, n\5, binomial(n-4*k-1, n-5*k)*binomial(n+1, k))/(n+1);
%Y Cf. A212364, A365698, A365699, A365700, A365701.
%Y Cf. A000108, A005043, A114997, A215341.
%K nonn
%O 0,11
%A _Seiichi Manyama_, Sep 16 2023
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