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A035290 Number of ways to place a non-attacking white and black pawn on n X n chessboard. +0
1
0, 0, 6, 50, 194, 522, 1142, 2186, 3810, 6194, 9542, 14082, 20066, 27770, 37494, 49562, 64322, 82146, 103430, 128594, 158082, 192362, 231926, 277290, 328994, 387602, 453702, 527906, 610850, 703194, 805622, 918842, 1043586, 1180610 (list; graph; listen)
OFFSET

1,3

FORMULA

a(n) = n^4 - 4 n^3 + n^2 + 10 n - 6

EXAMPLE

There are 6 ways of putting 1 white and 1 black pawn on 3 X 3 so that neither can capture the other. pawns can't be on first or last rank.

CROSSREFS

Adjacent sequences: A035287 A035288 A035289 this_sequence A035291 A035292 A035293

Sequence in context: A046195 A024268 A062801 this_sequence A138422 A001303 A027330

KEYWORD

nonn

AUTHOR

Erich Friedman (erich.friedman(AT)stetson.edu)

page 1

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Last modified May 16 23:01 EDT 2008. Contains 139884 sequences.


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