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A362080
a(n) = [x^n] 1/(1 - x*(1+x)^n)^n.
4
1, 1, 7, 55, 571, 7026, 98925, 1562219, 27214867, 516646333, 10589130223, 232574622116, 5440521381816, 134859301929873, 3527034780915985, 96965997588549555, 2793286163779275779, 84076751617833902070, 2637677096916448507104
OFFSET
0,3
LINKS
FORMULA
a(n) = Sum_{k=0..n} (-1)^k * binomial(-n,k) * binomial(n*k,n-k) = Sum_{k=0..n} binomial(n+k-1,k) * binomial(n*k,n-k).
PROG
(PARI) a(n) = sum(k=0, n, binomial(n+k-1, k)*binomial(n*k, n-k));
CROSSREFS
Main diagonal of A362078.
Main diagonal of A362079.
Sequence in context: A094905 A178922 A306046 * A355409 A112243 A083836
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Apr 08 2023
STATUS
approved