id:A086348 - OEIS Search Results

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On a 3 X 3 board, number of n-move routes of chess king ending at central cell.

+0
4

1, 8, 32, 168, 784, 3840, 18432, 89216, 430336, 2078720, 10035200, 48457728, 233967616, 1129709568, 5454692352, 26337640448, 127169265664, 614027755520, 2964787822592, 14315262836736 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`n=1 corresponds to start cell`
	LINKS	`Mike Oakes, KingMovesForPrimes.` `Zak Seidov, KingMovesForPrimes.` `Sleephound, KingMovesForPrimes.`
	FORMULA	`a(n)=(1/16)(4(-2)^n+(2+Sqrt[8])^(n+1)+(2-Sqrt[8])^(n+1))`
	MATHEMATICA	`Table[(1/16)(4(-2)^n+(2+Sqrt[8])^(n+1)+(2-Sqrt[8])^(n+1)), {n, 1, 20}]`
	CROSSREFS	`Cf. A086346, A086347.` `Sequence in context: A081654 A045684 A045675 this_sequence A129798 A129792 A093759` `Adjacent sequences: A086345 A086346 A086347 this_sequence A086349 A086350 A086351`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Jul 17 2003`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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