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A098500 Number of squares on infinite quarter chessboard at <=n knight moves from the corner. 3
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; refs; listen; history; internal format)
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: A037237 A005718 A199231 * A037236 A174963 A054602

Adjacent sequences:  A098497 A098498 A098499 * A098501 A098502 A098503

KEYWORD

nonn

AUTHOR

Ralf Stephan (ralf(AT)ark.in-berlin.de), Sep 15 2004

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Last modified February 15 19:15 EST 2012. Contains 205852 sequences.