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A119439
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Triangle T(n,k) = number of sets of m points determined by the intersection of a line with an n X n grid of points.
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2
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1, 1, 1, 1, 4, 6, 1, 9, 12, 8, 1, 16, 48, 4, 10, 1, 25, 108, 16, 4, 12, 1, 36, 248, 36, 4, 4, 14, 1, 49, 428, 64, 20, 4, 4, 16, 1, 64, 764, 100, 44, 4, 4, 4, 18, 1, 81, 1196, 204, 36, 24, 4, 4, 4, 20, 1, 100, 1900, 252, 64, 52, 4, 4, 4, 4, 22, 1, 121, 2668, 396, 124, 40, 28, 4, 4, 4, 4
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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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.
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FORMULA
| T(n,0) = 1, T(n,1) = n^2, T(n,k) = A119437(n,k) for k>1.
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EXAMPLE
| The table starts:
1,
1,1,
1,4,6,
1,9,12,8,
1,16,48,4,10,
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CROSSREFS
| Row sums A119438; columns A000290, A018809-A018817. See A119437 for another version.
Sequence in context: A195425 A131701 A021688 * A090642 A100612 A079160
Adjacent sequences: A119436 A119437 A119438 * A119440 A119441 A119442
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KEYWORD
| nonn,tabl
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AUTHOR
| Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 19 2006
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