A374676 - OEIS

%I #8 Jul 16 2024 11:34:35

%S 1,4,117,4416,191025,8959098,443175257,22764880288,1202693106969,

%T 64935435950760,3567189106107044,198746486074429164,

%U 11203798260525398593,637866038409406067394,36624374381748740836905,2118319467225018572438976,123307986154526506959597225

%N a(n) = Sum_{k=0..n} binomial(n+k-1,n) * binomial(n+k,n)^2.

%F a(n) = Sum_{k=0..n} (k/(n+k)) * binomial(n+k,k)^3 for n > 0.

%o (PARI) a(n) = sum(k=0, n, binomial(n+k-1, n)*binomial(n+k, n)^2);

%Y Cf. A001791, A374675.

%Y Cf. A112028.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Jul 16 2024