cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A111779 Sixth column (m=5) of unsigned triangle A111595.

Original entry on oeis.org

1, 30, 651, 12600, 235494, 4396140, 83471850, 1627358040, 32754696975, 682573101210, 14749179169725, 330654317994000, 7691170398011100, 185559161386599000, 4641068950134516900, 120256269348313098000
Offset: 5

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Author

Wolfdieter Lang, Aug 23 2005

Keywords

Formula

E.g.f. (1/sqrt(1-x^2))*((x/(1-x))^5)/5!.
a(n)=(n!/5!)*sum(binomial(2*k, k)*binomial(n-2*k-1, 4)/(4^k), k=0..floor((n-5)/2)), n>=5.
Conjecture: +(-n+5)*a(n) +5*n*a(n-1) +n*(n-1)^2*a(n-2)=0. - R. J. Mathar, Jun 08 2016