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.

A112580 Number of 3-D arrays of nonnegative integers with plane sums 2.

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%I A112580 #6 Sep 08 2013 02:57:31
%S A112580 1,12,1152,431424,427723200,920031955200,3777894212198400,
%T A112580 27039993414897254400,315084437077115278540800,
%U A112580 5667616936309704095784960000,150796432741520745587273564160000
%N A112580 Number of 3-D arrays of nonnegative integers with plane sums 2.
%D A112580 P. J. Cameron and T. W. Mueller, Decomposable functors and the exponential principle, II, in preparation
%H A112580 P. J. Cameron and T. W. Mueller, <a href="http://arxiv.org/abs/0911.3760v2">Decomposable functors and the exponential principle, II</a>, arXiv:0911.3760 [math.CO]
%F A112580 a(n) = b(n) + Sum (k/n)*(n choose k)^3*b(k)*a(n-k), where b(n) counts indecomposable arrays (A112578 with first term 1).
%e A112580 a(2)=12: eight 0-1 arrays and four with 2s at opposite vertices.
%Y A112580 Cf. A001499 (2-D case), A112578, A112579.
%K A112580 nonn,easy
%O A112580 1,2
%A A112580 _Peter J. Cameron_, Sep 14 2005