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Search: id:A119438
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A119438 Number of sets of points determined by the intersection of a line with an n X n grid of points. +0
2
1, 2, 11, 30, 79, 166, 343, 586, 1003, 1574, 2407, 3418, 4867, 6630, 9027, 11794, 15203, 19190, 24251, 29906, 36911, 44830, 54071, 64178, 76251, 89574, 105051, 121762, 140751, 161478, 185367, 210906, 240075, 271678, 306635, 343706, 384667 (list; graph; listen)
OFFSET

0,2

COMMENT

Each singleton point is determined by all but finitely many of the family of lines passing through that point, and the empty set is determined by any randomly positioned line.

FORMULA

a(n) = A018808(n) + n^2 + 1.

CROSSREFS

Cf. A018808, A119439.

Sequence in context: A103830 A023664 A023622 this_sequence A094005 A115058 A085041

Adjacent sequences: A119435 A119436 A119437 this_sequence A119439 A119440 A119441

KEYWORD

nonn

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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