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Search: id:A124326
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| A124326 |
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Triangular sequence of Pascal triangle minus A077023 with the zeros removed. |
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+0
1
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| 1, 3, 3, 6, 10, 6, 10, 22, 22, 10, 15, 40, 53, 40, 15, 21, 65, 105, 105, 65, 21, 28, 98, 185, 226, 185, 98, 28, 36, 140, 301, 431, 431, 301, 140, 36, 45, 192, 462, 756, 887, 756, 462, 192, 45, 55, 255, 678, 1246, 1673, 1673, 1246, 678, 255, 55, 66, 330, 960, 1956, 2954
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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First term is n*(n-1)/2 type numbers. Row sum is:A002663 ( without zeros) 1, 6, 22, 64, 163, 382, 848, 1816, 3797, 7814, 15914
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FORMULA
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t(n,m)=When not zero,A007313-A077023[n,m]
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EXAMPLE
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{1},
{3, 3},
{6, 10, 6},
{10, 22, 22, 10},
{15, 40, 53, 40, 15},
{21, 65, 105, 105, 65, 21},
{28, 98, 185, 226, 185, 98, 28},
{36, 140, 301, 431, 431, 301, 140, 36},
{45, 192, 462, 756, 887, 756, 462, 192, 45}
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MATHEMATICA
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a = Table[Flatten[Table[If[Binomial[m, n] - (1 +n (m - n)) == 0, {}, Binomial[m, n] - (1 + n (m - n))], {n, 0, m}]], {m, 0, 14}]
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CROSSREFS
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Cf. A077028, A007313, A002663.
Sequence in context: A050337 A022086 A097135 this_sequence A031504 A049871 A049924
Adjacent sequences: A124323 A124324 A124325 this_sequence A124327 A124328 A124329
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KEYWORD
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nonn,uned,tabf
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AUTHOR
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Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jun 26 2007
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