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A374676
a(n) = Sum_{k=0..n} binomial(n+k-1,n) * binomial(n+k,n)^2.
1
1, 4, 117, 4416, 191025, 8959098, 443175257, 22764880288, 1202693106969, 64935435950760, 3567189106107044, 198746486074429164, 11203798260525398593, 637866038409406067394, 36624374381748740836905, 2118319467225018572438976, 123307986154526506959597225
OFFSET
0,2
FORMULA
a(n) = Sum_{k=0..n} (k/(n+k)) * binomial(n+k,k)^3 for n > 0.
PROG
(PARI) a(n) = sum(k=0, n, binomial(n+k-1, n)*binomial(n+k, n)^2);
CROSSREFS
Cf. A112028.
Sequence in context: A194535 A030255 A146508 * A365450 A096464 A285053
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Jul 16 2024
STATUS
approved