id:A098498 - OEIS Search Results

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Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge.

+0
8

1, 5, 23, 60, 110, 172, 248, 338, 442, 560, 692, 838, 998, 1172, 1360, 1562, 1778, 2008, 2252, 2510, 2782, 3068, 3368, 3682, 4010, 4352, 4708, 5078, 5462, 5860, 6272, 6698, 7138, 7592, 8060, 8542, 9038, 9548, 10072, 10610, 11162, 11728 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`7n^2 - n + 2, for n>3.`
	EXAMPLE	`5 squares are reachable after 1 move, from these you can reach 18 new squares more, so a(1)=5 and a(2)=23.`
	CROSSREFS	`See A018836 (unbounded), A098499 (diagonal halfplane), A098500 (quadrant), A098501 (octant).` `Sequence in context: A116581 A093622 A089137 this_sequence A106956 A084671 A064395` `Adjacent sequences: A098495 A098496 A098497 this_sequence A098499 A098500 A098501`
	KEYWORD	`nonn`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 15 2004`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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