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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. 1
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; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

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: A162260 A023664 A023622 * A094005 A190154 A115058

Adjacent sequences:  A119435 A119436 A119437 * A119439 A119440 A119441

KEYWORD

nonn

AUTHOR

Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 19 2006

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Last modified February 14 16:34 EST 2012. Contains 205635 sequences.