A032369 Hall normalization constants.

1, 2, 35, 71680, 2342475135, 15348366279966720, 2492793923102873600710500, 117177502102127147176107712708608000, 186733555312073832495246142097242616441661862500, 113089197439108073602054517201873021784680788485222929793024000

Offset

1,2

Links

Table of n, a(n) for n=1..10.

P. B. Slater, Hall normalization constants ..., J. Phys. A, 32 (1999), 8231-8246.

H.-J. Sommers and K. Zyczkowski, Bures volume of the set of mixed quantum states

Formula

a(n) = numerator of 2^(n^2-n) * Gamma(n^2/2) / (Pi^(n/2) * Product_{i=1..n+1} Gamma(i)).

Mathematica

a[1]=1; a[n_] := Numerator[2^(n^2-n) Gamma[n^2/2]/(Pi^(n/2) BarnesG[n+2])];
Array[a, 7] (* Jean-François Alcover, Feb 18 2019 *)

Crossrefs

Sequence in context: A325630 A292702 A133013 * A134729 A342674 A309209

Adjacent sequences: A032366 A032367 A032368 * A032370 A032371 A032372

Keyword

nonn

Author

Paul Slater (slater(AT)itp.ucsb.edu)

Extensions

a(8)-a(10) from Sean A. Irvine, Jun 19 2020

Status

approved