id:A098500 - OEIS Search Results

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Number of squares on infinite quarter chessboard at <=n knight moves from the corner.

+0
4

1, 3, 12, 32, 59, 91, 130, 176, 229, 289, 356, 430, 511, 599, 694, 796, 905, 1021, 1144, 1274, 1411, 1555, 1706, 1864, 2029, 2201, 2380, 2566, 2759, 2959, 3166, 3380, 3601, 3829, 4064, 4306, 4555, 4811, 5074, 5344, 5621, 5905, 6196, 6494 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`(1/2) [7n^2 + n + 2], for n>3.`
	EXAMPLE	`3 squares are reachable after 1 move, from these you can reach 8 new squares more, so a(1)=3, a(2)=12.`
	CROSSREFS	`First differences are in A047883.` `See A018836 (unbounded), A098498 (halfplane), A098499 (diagonal halfplane), A098501 (octant).` `Sequence in context: A131740 A037237 A005718 this_sequence A037236 A054602 A083725` `Adjacent sequences: A098497 A098498 A098499 this_sequence A098501 A098502 A098503`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 15 2004`

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.

AT&T Labs Research