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A051757 Consider problem of placing A051754(n) queens on an n X n board so that each queen attacks precisely 1 other. Sequence gives number of solutions up to square symmetry. +0
2
2, 7, 5, 93, 2, 149, 49, 1, 12897, 2238 (list; graph; listen)
OFFSET

2,1

COMMENT

When n is a multiple of 3, the bound of 2[2n/3] queens is so tight that in solutions with that number of queens, all attacks must be along rows or columns, making solutions rare. - Jud McCranie

REFERENCES

Martin Gardner, The Last Recreations, Copernicus, 1997, 274-283.

CROSSREFS

Cf. A051754-A051759, A051567-A051571, A019654.

Sequence in context: A100759 A152555 A094360 this_sequence A070524 A021366 A135155

Adjacent sequences: A051754 A051755 A051756 this_sequence A051758 A051759 A051760

KEYWORD

nonn,nice

AUTHOR

Robert Trent (trentrd(AT)hotmail.com), Aug 23 2000

EXTENSIONS

More terms from Jud McCranie (j.mccranie(AT)comcast.net), Aug 14 2001

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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