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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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2
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0, 0, 7, 74, 882, 11144, 159652, 2571960, 46406392, 928734944, 20436096048, 490489794464, 12752891909920, 357081983435904, 10712466529388608, 342798976818878336, 11655165558112403328, 419585962575107694080
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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REFERENCES
| 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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| E. Lucas, Th\'{e}orie des Nombres. Gauthier-Villars, Paris, 1891, Vol. 1, p. 222.
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FORMULA
| For asymptotics see the Robinson paper.
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MAPLE
| For Maple program see A000903.
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CROSSREFS
| Sequence in context: A106417 A137141 A114472 * A098118 A097821 A054745
Adjacent sequences: A000898 A000899 A000900 * A000902 A000903 A000904
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KEYWORD
| nonn,nice
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Robert G. Wilson v (rgwv(AT)rgwv.com)
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EXTENSIONS
| Corrected and extended by Sean A. Irvine (sairvin(AT)xtra.co.nz), Aug 23 2011
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