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A003923 Order of universal Chevalley group B_n (2) or symplectic group Sp(2n,2). 6
1, 6, 720, 1451520, 47377612800, 24815256521932800, 208114637736580743168000, 27930968965434591767112450048000, 59980383884075203672726385914533642240000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985, p. xvi.

H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

B. Runge, On Siegel modular forms I, J. Reine Angew. Math., 436 (1993), 57-85.

LINKS

T. D. Noe, Table of n, a(n) for n = 0..20

FORMULA

a(n) = B(2,n) where B(q,n) is defined in A003920. - Sean A. Irvine, Sep 22 2015

MAPLE

for m from 0 to 50 do N:=2^(m^2)*mul( 4^i-1, i=1..m); lprint(N); od:

PROG

(Python)

from math prod

def A003923(n): return (1 << n**2)*prod((1 << i)-1 for i in range(2, 2*n+1, 2)) # Chai Wah Wu, Jun 20 2022

CROSSREFS

A bisection of A003053.

Cf. A003920.

Sequence in context: A289747 A188960 A100732 * A002204 A052295 A169668

Adjacent sequences:  A003920 A003921 A003922 * A003924 A003925 A003926

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

Edited by N. J. A. Sloane, Dec 30 2008

STATUS

approved

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Last modified August 12 04:52 EDT 2022. Contains 356067 sequences. (Running on oeis4.)