id:A098501 - OEIS Search Results

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Number of squares on infinite octant of chessboard at <=n knight moves from the corner. The octant includes the diagonal.

+0
4

1, 2, 5, 13, 31, 49, 70, 93, 121, 151, 186, 223, 265, 309, 358, 409, 465, 523, 586, 651, 721, 793, 870, 949, 1033, 1119, 1210, 1303, 1401, 1501, 1606, 1713, 1825, 1939, 2058, 2179, 2305, 2433, 2566, 2701, 2841, 2983, 3130, 3279, 3433, 3589, 3750 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`(1/8) [14n^2 + 8n + 5 + 3(-1)^n], for n>4.`
	EXAMPLE	`2 squares are reachable after 1 move, from these you can reach 3 new squares more, so a(1)=2, a(2)=5.`
	CROSSREFS	`See A018836 (unbounded), A098498 (halfplane), A098499 (diagonal halfplane), A098500 (quadrant).` `Sequence in context: A065377 A077278 A073683 this_sequence A116701 A068739 A063636` `Adjacent sequences: A098498 A098499 A098500 this_sequence A098502 A098503 A098504`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 15 2004`

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Last modified December 10 12:37 EST 2009. Contains 170569 sequences.

AT&T Labs Research