A082966 - OEIS

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A082966

Number of inequivalent ways three checkers can be placed on an n X n board.

0, 1, 16, 77, 319, 920, 2397, 5278, 10874, 20355, 36390, 61171, 99441, 154882, 235179, 346060, 499172, 702933, 974124, 1324585, 1777555, 2349116, 3070441, 3962762, 5066814, 6409975, 8044322, 10004463, 12355749, 15141190, 18441495 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,3`
	LINKS	`Erich Friedman, Illustration of initial terms`
	FORMULA	`1/48(n-1)(n^5+n^4-2n^3+14n^2-5n+3) if n is odd else 1/48n(n-1)(n^2-n+2)(n^2+2n-2).`
	CROSSREFS	`Cf. A014409, A054252.` `Sequence in context: A118532 A007834 A200873 * A198182 A195976 A061995` `Adjacent sequences: A082963 A082964 A082965 * A082967 A082968 A082969`
	KEYWORD	`nonn`
	AUTHOR	`Vladeta Jovovic (vladeta(AT)eunet.rs), May 27 2003`

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Last modified February 16 09:00 EST 2012. Contains 205904 sequences.