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Search: id:A003053
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| A003053 |
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Order of orthogonal group O(n,GF(2)).
(Formerly M1716)
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+0
5
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| 1, 2, 6, 48, 720, 23040, 1451520, 185794560, 47377612800, 24257337753600, 24815256521932800, 50821645356918374400, 208114637736580743168000, 1704875112338069448032256000, 27930968965434591767112450048000, 915241991059360703024740763172864000
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
F. J. MacWilliams, Orthogonal matrices over finite fields, Amer. Math. Monthly, 76 (1969), 152-164.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..40
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FORMULA
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For formulae see Maple code.
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MAPLE
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h:=proc(n) local m;
if n mod 2 = 0 then m:=n/2;
2^(m^2)*mul( 4^i-1, i=1..m);
else m:=(n+1)/2;
2^(m^2)*mul( 4^i-1, i=1..m-1);
fi;
end;
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CROSSREFS
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Bisections give A003923 and A090770.
Sequence in context: A052735 A052717 A129464 this_sequence A113296 A063744 A141609
Adjacent sequences: A003050 A003051 A003052 this_sequence A003054 A003055 A003056
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com). Edited by N. J. A. Sloane (njas(AT)research.att.com), Dec 30 2008.
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