A059492 Expansion of generating function A_{UO}^(1)(8n).
1, 1, 9, 676, 417316, 2105433225, 86576511622500, 28972583638980195600, 78831929114313969179740176, 1742936131827576565608759271801924, 312998895971128640129284150531179425539849, 456409483679643917229799018559460369930900420149904
Offset: 0
Links
- G. C. Greubel, Table of n, a(n) for n = 0..47
- G. Kuperberg, Symmetry classes of alternating-sign matrices under one roof, arXiv:math/0008184 [math.CO], 2000-2001 [Th. 5].
Programs
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Mathematica
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 *)
Formula
a(n) = A005156(n)^2.