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A032522 Number of symmetric solutions to non-attacking queens problem on n X n board.
(Formerly M0330 N0125)
+0
6
1, 0, 0, 2, 2, 4, 8, 4, 16, 12, 48, 80, 136, 420, 1240, 3000, 8152, 18104, 44184, 144620, 375664, 1250692, 3581240, 11675080, 34132592, 115718268, 320403024, 1250901440, 3600075088, 14589438024, 43266334696, 181254386312 (list; graph; listen)
OFFSET

1,4

REFERENCES

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).

R. J. Walker, An enumerative technique for a class of combinatorial problems, pp. 91-94 of Proc. Sympos. Applied Math., vol. 10, Amer. Math. Soc., 1960.

LINKS

W. Schubert, Table of n, a(n) for n = 1..36

W. Schubert, N-Queens page

M. Szabo, Non-attacking Queens Problem Page

CROSSREFS

Cf. A002562, A033148, A037224, A037223.

Sequence in context: A116694 A137778 A000017 this_sequence A077964 A077968 A123958

Adjacent sequences: A032519 A032520 A032521 this_sequence A032523 A032524 A032525

KEYWORD

nonn,nice,hard

AUTHOR

Miklos SZABO (mike(AT)ludens.elte.hu)

EXTENSIONS

More terms for n = 33..36 from W. Schubert (wschubnq(AT)gmx.de), Jul 31 2009

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Last modified February 9 11:24 EST 2010. Contains 172296 sequences.


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