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A189563 Number of permutations p of 1,2,...,n satisfying |p(i+1)-p(i)|<>4 and |p(j+4)-p(j)|<>1 for all i=1..n-1, j=1..n-4. 8
1, 2, 6, 24, 48, 182, 868, 5752, 37156, 296944, 2738820, 28894206, 335399468, 4285522402, 59536763892, 892785282788 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) is also the number of ways to place n nonattacking pieces rook + leaper[1,4] on an n X n chessboard (in fairy chess the leaper[1,4] is called a giraffe).

LINKS

Table of n, a(n) for n=1..16.

V. Kotesovec, Number of ways of placing non-attacking queens, kings, bishops and knights (in English and Czech)

FORMULA

Asymptotic: a(n)/n! ~ 1/e^4.

CROSSREFS

Cf. A137774, A189358.

Sequence in context: A113904 A099144 A189851 * A104114 A175624 A118038

Adjacent sequences:  A189560 A189561 A189562 * A189564 A189565 A189566

KEYWORD

nonn,hard

AUTHOR

Vaclav Kotesovec, Apr 23 2011

STATUS

approved

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Last modified August 28 13:06 EDT 2015. Contains 261122 sequences.