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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A116871 Sixth column of triangle A067323.

Original entry on oeis.org

42, 174, 645, 2333, 8398, 30275, 109550, 398180, 1453908, 5332407, 19639521, 72616727, 269473750, 1003347975, 3747412770, 14036374680, 52714429260, 198459284400, 748867149234, 2831788492218, 10729442739596
Offset: 0

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Author

Wolfdieter Lang, Mar 24 2006

Keywords

Comments

Also sixth diagonal sequence of triangle A028364.

Crossrefs

Cf. A067326 (fifth column of A067323).

Formula

a(n)= A067323(n+5,5), n>=0.
a(n)= A028364(5+n,n) = sum(C(k)*C(5+n-k),k=0..n), n>=0, with the Catalan numbers C(n):=A000108(n).
G.f.: (c(x)^3)sum(C(4, k)*c(x)^k, k=0..4), with C(n, m) := (m+1)*binomial(2*n-m, n-m)/(n+1) (Catalan convolutions A033184).
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Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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