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%I M4446 N1881 #31 Jan 10 2018 16:05:06
%S 0,0,7,74,882,11144,159652,2571960,46406392,928734944,20436096048,
%T 490489794464,12752891909920,357081983435904,10712466529388608,
%U 342798976818878336,11655165558112403328,419585962575107694080
%N Number of solutions to the rook problem on a 2n X 2n board having a certain symmetry group (see Robinson for details).
%D L. C. Larson, The number of essentially different nonattacking rook arrangements, J. Recreat. Math., 7 (No. 3, 1974), circa pages 180-181.
%D R. W. Robinson, Counting arrangements of bishops, pp. 198-214 of Combinatorial Mathematics IV (Adelaide 1975), Lect. Notes Math., 560 (1976).
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H L. C. Larson, <a href="/A000900/a000900_1.pdf">The number of essentially different nonattacking rook arrangements</a>, J. Recreat. Math., 7 (No. 3, 1974), circa pages 180-181. [Annotated scan of pages 180 and 181 only]
%H E. Lucas, <a href="http://gallica.bnf.fr/ark:/12148/bpt6k29021h">Théorie des Nombres</a>, Gauthier-Villars, Paris, 1891, Vol. 1, p. 222.
%H E. Lucas, <a href="/A000899/a000899.pdf">Théorie des nombres</a> (annotated scans of a few selected pages)
%H R. W. Robinson, <a href="/A000899/a000899_1.pdf">Counting arrangements of bishops</a>, pp. 198-214 of Combinatorial Mathematics IV (Adelaide 1975), Lect. Notes Math., 560 (1976). (Annotated scanned copy)
%H R. G. Wilson, v, <a href="/A000900/a000900.pdf">Comments on the Larsen paper (no date)</a>
%F For asymptotics see the Robinson paper.
%p For Maple program see A000903.
%K nonn,nice
%O 1,3
%A _N. J. A. Sloane_, _Robert G. Wilson v_
%E Corrected and extended by _Sean A. Irvine_, Aug 23 2011
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