id:A119437 - OEIS Search Results

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A119437

Table T(n,k) = number of lines through exactly k points of an n X n grid of points.

+0
2

6, 12, 8, 48, 4, 10, 108, 16, 4, 12, 248, 36, 4, 4, 14, 428, 64, 20, 4, 4, 16, 764, 100, 44, 4, 4, 4, 18, 1196, 204, 36, 24, 4, 4, 4, 20, 1900, 252, 64, 52, 4, 4, 4, 4, 22, 2668, 396, 124, 40, 28, 4, 4, 4, 4, 24, 3824, 572, 200, 20, 60, 4, 4, 4, 4, 4, 26, 5244, 780, 236, 76, 44, 32 (list; table; graph; listen)

	OFFSET	`2,1`
	FORMULA	`T(n,k) = 1/2 (f(n, k+2) - 2 f(n, k+1) + f(n, k)) where f(n, k) = Sum_{-n<x<n, -n<y<n, gcd(x, y)=k} (n - \|x\|)*(n - \|y\|).`
	CROSSREFS	`Row sums A018808; columns A018809-A018817. See A119439 for another version.` `Sequence in context: A028643 A028627 A028320 this_sequence A074474 A124349 A134383` `Adjacent sequences: A119434 A119435 A119436 this_sequence A119438 A119439 A119440`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 19 2006`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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