id:A100583 - OEIS Search Results

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Number of triangles in an n X n grid of squares with diagonals.

+0
2

0, 8, 44, 124, 268, 492, 816, 1256, 1832, 2560, 3460, 4548, 5844, 7364, 9128, 11152, 13456, 16056, 18972, 22220, 25820, 29788, 34144, 38904, 44088, 49712, 55796, 62356, 69412, 76980, 85080, 93728, 102944, 112744, 123148, 134172, 145836 (list; graph; listen)

	OFFSET	`0,2`
	LINKS	`WisFaq (Dutch)`
	FORMULA	`a(n) = 3n^3+(9/2)n^2+n+(1/4)(-1)^n-1/4; a(n) = 4Sum{i=1 to n}[i^2 + (n+1-i)*(n+1-round(i/2))]`
	CROSSREFS	`Sequence in context: A046329 A046377 A075816 this_sequence A036464 A000938 A059596` `Adjacent sequences: A100580 A100581 A100582 this_sequence A100584 A100585 A100586`
	KEYWORD	`nonn`
	AUTHOR	`Floor van Lamoen (fvlamoen(AT)hotmail.com), Nov 30 2004`

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

AT&T Labs Research