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Search: id:A088437
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| A088437 |
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Number of n X n orthogonal matrices over GF(2) modulo permutations of rows. |
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+0
2
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| 1, 1, 1, 2, 6, 32, 288, 4608, 130560, 6684672, 621674496, 106099113984, 33421220904960, 19556188689530880, 21359269286705627136, 43743783499173124374528, 168632285389312394463805440, 1227942828363775231508883701760, 16941927202935006869128068433182720, 444122456468619444070070837134825095168
(list; graph; listen)
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OFFSET
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1,4
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COMMENT
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Also the number of distinct self-dual bases for GF(2^n) over GF(2). - Max Alekseyev, Feb 11 2008
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LINKS
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Max Alekseyev, PARI scripts
Joerg Arndt, Fxtbook, see p. 883.
Dieter Jungnickel, Alfred J. Menezes and Scott A. Vanstone, On the Number of Self-Dual Bases of GF(q^m) Over GF(q), Proc. Amer. Math. Soc. 109 (1990), 23-29.
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FORMULA
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a(n) = A003053(n) / n!.
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CROSSREFS
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Cf. A053601, A135488.
Sequence in context: A012324 A121676 A133596 this_sequence A005736 A123903 A005742
Adjacent sequences: A088434 A088435 A088436 this_sequence A088438 A088439 A088440
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KEYWORD
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nonn
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AUTHOR
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Yuval Dekel (dekelyuval(AT)hotmail.com), Nov 09 2003
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EXTENSIONS
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More terms from Max Alekseyev, Feb 11 2008
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