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%I #11 Jun 19 2020 21:12:03
%S 1,2,35,71680,2342475135,15348366279966720,2492793923102873600710500,
%T 117177502102127147176107712708608000,
%U 186733555312073832495246142097242616441661862500,113089197439108073602054517201873021784680788485222929793024000
%N Hall normalization constants.
%H P. B. Slater, <a href="http://arXiv.org/abs/quant-ph/9904101">Hall normalization constants ...</a>, J. Phys. A, 32 (1999), 8231-8246.
%H H.-J. Sommers and K. Zyczkowski, <a href="http://arXiv.org/abs/quant-ph/0304041">Bures volume of the set of mixed quantum states</a>
%F a(n) = numerator of 2^(n^2-n) * Gamma(n^2/2) / (Pi^(n/2) * Product_{i=1..n+1} Gamma(i)).
%t a[1]=1; a[n_] := Numerator[2^(n^2-n) Gamma[n^2/2]/(Pi^(n/2) BarnesG[n+2])];
%t Array[a, 7] (* _Jean-François Alcover_, Feb 18 2019 *)
%K nonn
%O 1,2
%A Paul Slater (slater(AT)itp.ucsb.edu)
%E a(8)-a(10) from _Sean A. Irvine_, Jun 19 2020
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