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Search: id:A000901
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| A000901 |
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Number of solutions to the rook problem on a 2n X 2n board having a certain symmetry group (see Robinson for details).
(Formerly M4446 N1881)
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+0
3
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| 0, 0, 7, 74, 882, 11144, 159652, 2571960, 46406392, 928734944, 20436096048, 409489794464, 12752891909920, 357081983435904, 10712466529388608, 342798976818878336
(list; graph; listen)
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OFFSET
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1,3
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
L. C. Larson, The number of essentially different nonattacking rook arrangements, J. Recreat. Math., 7 (No. 3, 1974), circa pages 180-181.
R. W. Robinson, Counting arrangements of bishops, pp. 198-214 of Combinatorial Mathematics IV (Adelaide 1975), Lect. Notes Math., 560 (1976).
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LINKS
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E. Lucas, Th\'{e}orie des Nombres. Gauthier-Villars, Paris, 1891, Vol. 1, p. 222.
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FORMULA
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For asymptotics see the Robinson paper.
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MAPLE
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For Maple program see A000903.
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CROSSREFS
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Sequence in context: A106417 A137141 A114472 this_sequence A098118 A097821 A054745
Adjacent sequences: A000898 A000899 A000900 this_sequence A000902 A000903 A000904
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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