id:A111746 - OEIS Search Results

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Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid.

+0
1

0, 5, 17, 42, 82, 143, 227, 340, 484, 665, 885, 1150, 1462, 1827, 2247, 2728, 3272, 3885, 4569, 5330, 6170, 7095, 8107, 9212, 10412, 11713, 13117, 14630, 16254, 17995, 19855, 21840, 23952, 26197, 28577, 31098, 33762, 36575, 39539, 42660, 45940 (list; graph; listen)

	OFFSET	`0,2`
	FORMULA	`a(n) = n(4n^2 - 1)/6 - 1/4 + 1/4*(-1)^n = floor(A000447(n)/2).`
	MAPLE	`seq(n(4n^2-1)/6 - 1/4 + 1/4*(-1)^n, n=1..50);`
	CROSSREFS	`Sequence in context: A122035 A052350 A096741 this_sequence A088645 A055609 A146720` `Adjacent sequences: A111743 A111744 A111745 this_sequence A111747 A111748 A111749`
	KEYWORD	`nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 19 2005`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

AT&T Labs Research