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A059492 Expansion of generating function A_{UO}^(1)(8n).

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%I A059492 #8 Sep 11 2017 02:36:57
%S A059492 1,1,9,676,417316,2105433225,86576511622500,28972583638980195600,
%T A059492 78831929114313969179740176,1742936131827576565608759271801924,
%U A059492 312998895971128640129284150531179425539849,456409483679643917229799018559460369930900420149904
%N A059492 Expansion of generating function A_{UO}^(1)(8n).
%H A059492 G. C. Greubel, <a href="/A059492/b059492.txt">Table of n, a(n) for n = 0..47</a>
%H A059492 G. Kuperberg, <a href="https://arxiv.org/abs/math/0008184">Symmetry classes of alternating-sign matrices under one roof</a>, arXiv:math/0008184 [math.CO], 2000-2001 [Th. 5].
%F A059492 a(n) = A005156(n)^2.
%t A059492 Table[(1/4^n)*(Product[((6 k - 2)! (2 k - 1)!)/((4 k - 1)! (4 k - 2)!), {k, n}])^2, {n, 0, 20}] (* _G. C. Greubel_, Sep 10 2017 *)
%K A059492 nonn,easy
%O A059492 0,3
%A A059492 _N. J. A. Sloane_, Feb 04 2001