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Hankel transform of A138175.
1

%I #8 Sep 27 2024 05:44:44

%S 1,-4,144,-43264,106832896,-2155963622400,354617391605760000,

%T -474686810341051524710400,5166329306435680284163452174336,

%U -456900249341808231214942590547243565056

%N Hankel transform of A138175.

%C When aerated, gives Hankel transform of A138175.

%H A. V. Razumov and Yu. G. Stroganov, <a href="https://arxiv.org/abs/math-ph/0312071">On refined enumerations of some symmetry classes of alternating sign matrices</a>, arXiv:math-ph/0312071, 2003.

%F sqrt(abs(a(n)))/2^n = A005156(n).

%F a(n) = (-1)^n*(Product_{k=1..n} (6*k-2)!*(2*k-1)!/((4*k-1)!*(4*k-2)!))^2.

%K easy,sign

%O 0,2

%A _Paul Barry_, Mar 03 2008