id:A086346 - OEIS Search Results

Search: id:A086346

Displaying 1-1 of 1 results found.

page 1

On a 3 X 3 board, the number of n-move paths for a chess king ending in a given corner cell.

+0
5

1, 3, 18, 80, 400, 1904, 9248, 44544, 215296, 1039104, 5018112, 24227840, 116985856, 564850688, 2727354368, 13168803840, 63584665600, 307013812224, 1482394042368, 7157631156224 (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)=(1/32)(2(-2)^(n+1)+(2+Sqrt[8])^(n+1)+(2-Sqrt[8])^(n+1))`
	MATHEMATICA	`Table[(1/32)(2(-2)^(n+1)+(2+Sqrt[8])^(n+1)+(2-Sqrt[8])^(n+1)), {n, 1, 20}]`
	CROSSREFS	`Sequence in context: A056319 A056310 A135371 this_sequence A036290 A078904 A099012` `Adjacent sequences: A086343 A086344 A086345 this_sequence A086347 A086348 A086349`
	KEYWORD	`nonn`
	AUTHOR	`Zak Seidov (zakseidov(AT)yahoo.com), Jul 17 2003`

page 1

Search completed in 0.002 seconds

Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

AT&T Labs Research