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.

A178118 Antidiagonal sums of the triangle A060187.

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%I A178118 #3 Mar 30 2012 17:34:41
%S A178118 0,1,1,2,7,25,100,469,2481,14406,90995,621553,4561112,35736921,
%T A178118 297435521,2618575194,24297706927,236870849417,2419213831452,
%U A178118 25820011544781,287327296473585,3326999636488190,40011485288491131
%N A178118 Antidiagonal sums of the triangle A060187.
%C A178118 This sequence is an analog to the Lucas formula which obtains A000045 as the antidiagonal sums of the Pascal triangle A007318.
%D A178118 David M. Burton, Elementary number theory, McGraw Hill (2002), page 286
%F A178118 a(n) = sum_{m=0.. floor[(n-1)/2]} A060187(n-m-1,m).
%t A178118 p[x_, n_] = (1 - x)^(n + 1)*Sum[(2*k + 1)^n*x^k, {k, 0, Infinity}];
%t A178118 f[n_, m_] := CoefficientList[FullSimplify[ExpandAll[p[x, n]]], x][[m + 1]]
%t A178118 a[n_] := Sum[f[n - m - 1, m], {m, 0, Floor[(n - 1)/2]}]
%t A178118 Table[a[n], {n, 0, 30}]
%Y A178118 Cf. A000800, A060187, A000045
%K A178118 nonn
%O A178118 0,4
%A A178118 _Roger L. Bagula_, May 20 2010
%E A178118 Exact definition moved to formula - the Assoc. Eds. of the OEIS, Aug 20 2010