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Search: id:A018811
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A018811 Number of lines through exactly 4 points of an n X n grid of points. +0
1
0, 0, 0, 0, 10, 4, 4, 20, 44, 36, 64, 124, 200, 236, 272, 308, 548, 692, 852, 1108, 1396, 1452, 1768, 2116, 2496, 2908, 3568, 4292, 5428, 5956, 6500, 7444, 8452, 8980, 10208, 11516, 13348, 14700, 16116, 17596, 20124, 22476, 24956, 28092, 31404, 33052, 36032 (list; graph; listen)
OFFSET

0,5

FORMULA

1/2 (f(n, 6) - 2 f(n, 5) + f(n, 4)) where f(n, k) = Sum ((n - |x|)(n - |y|)); -n<x<n, -n<y<n, (x, y)=k.

CROSSREFS

Sequence in context: A113315 A081986 A063566 this_sequence A100844 A076587 A040094

Adjacent sequences: A018808 A018809 A018810 this_sequence A018812 A018813 A018814

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified December 2 15:58 EST 2008. Contains 150992 sequences.


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