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.

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A112499 Fourth column of second-order Eulerian triangle A008517 divided by 4.

Original entry on oeis.org

6, 111, 1100, 8030, 48950, 265625, 1331540, 6310976, 28719094, 126814819, 547457452, 2323131730, 9729382150, 40335953245, 165915269268, 678306115284, 2759909133030, 11187839886855, 45220188014220, 182359367356230, 734088513869846, 2950950104332001, 11849511321016340, 47540932962238760
Offset: 4

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Author

Wolfdieter Lang, Oct 14 2005

Keywords

Links

Crossrefs

Cf. A008517, A112498, A112503.

Formula

G.f.: x^4*(6-9*x-70*x^2+163*x^3-42*x^4-72*x^5)/(Product_{j=1..4} (1-j*x)^(5-j)). See the comment on column g.f.s under A008517.
a(n) = 4*a(n-1) + (n-2)*A112498(n-1), n>4, with a(4)=6.
a(n+4) = 6*b(n)-9*b(n-1)-70*b(n-2)+163*b(n-3)-42*b(n-4)-72*b(n-5), n>=0, with b(n):=A112503(n).

Extensions

More terms from Michel Marcus, Jul 07 2025
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