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.

A078524 Numerator of volume of Birkhoff polytope of n X n doubly-stochastic square matrices.

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%I A078524 #17 Jun 25 2017 00:01:15
%S A078524 1,2,9,176,23590375,9700106723,77436678274508929033,
%T A078524 5562533838576105333259507434329,
%U A078524 559498129702796022246895686372766052475496691,727291284016786420977508457990121862548823260052557333386607889
%N A078524 Numerator of volume of Birkhoff polytope of n X n doubly-stochastic square matrices.
%H A078524 N. J. A. Sloane, <a href="/A078524/b078524.txt">Table of n, a(n) for n = 1..10</a>
%H A078524 Beck, Matthias, <a href="http://arxiv.org/abs/1407.0255">Stanley's Major Contributions to Ehrhart Theory</a>, arXiv preprint arXiv:1407.0255 (2014).
%H A078524 Matthias Beck and Dennis Pixton, <a href="http://arxiv.org/abs/math/0202267">The Ehrhart polynomial of the Birkhoff polytope</a>, Discrete Comput. Geom. 30 (2003), no. 4, 623-637, arXiv:math.CO/0202267
%e A078524 Volumes for n=1 to 10, from Beck-Pixton (2003):
%e A078524 1 1
%e A078524 2 2
%e A078524 3 9/8
%e A078524 4 176/2835
%e A078524 5 23590375/167382319104
%e A078524 6 9700106723/1319281996032000000
%e A078524 7 77436678274508929033/13730296368223523839986892800000000
%e A078524 8 5562533838576105333259507434329/1258903626009547795008148094269333980330892800
%e A078524 00000000
%e A078524 9 559498129702796022246895686372766052475496691/9269262340995263649896514671280698429605195132920241960610847715334553600000000000000
%e A078524 10 727291284016786420977508457990121862548823260052557333386607889/828160860106766855125676318796872729344622463533089422677980721388055739956270293750883504892820848640000000
%Y A078524 Denominator is in A078525. See A037302 for more information about volume of Birkhoff polytopes.
%K A078524 nonn,frac,hard
%O A078524 1,2
%A A078524 _Dean Hickerson_, Nov 27 2002
%E A078524 Entry revised by _N. J. A. Sloane_, Apr 16 2016