A362080 a(n) = [x^n] 1/(1 - x*(1+x)^n)^n.
1, 1, 7, 55, 571, 7026, 98925, 1562219, 27214867, 516646333, 10589130223, 232574622116, 5440521381816, 134859301929873, 3527034780915985, 96965997588549555, 2793286163779275779, 84076751617833902070, 2637677096916448507104
Offset: 0
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..449
Programs
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PARI
a(n) = sum(k=0, n, binomial(n+k-1, k)*binomial(n*k, n-k));
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).