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Search: id:A130671
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| A130671 |
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Triangular sequence based on Pascal's triangle: t(n,m)=2*binomial[m, n] - (1 + n*(m - n)). |
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+0
1
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 5, 13, 13, 5, 1, 1, 6, 21, 30, 21, 6, 1, 1, 7, 31, 57, 57, 31, 7, 1, 1, 8, 43, 96, 123, 96, 43, 8, 1, 1, 9, 57, 149, 231, 231, 149, 57, 9, 1, 1, 10, 73, 218, 395, 478, 395, 218, 73, 10, 1
(list; table; graph; listen)
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OFFSET
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1,5
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COMMENT
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Suggested by Gary Adamson from a previous submission. Very close to ( slightly lower at 7th row) A086617.
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FORMULA
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t(n,m)=2*binomial[m, n] - (1 + n*(m - n))
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EXAMPLE
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{1},
{1, 1},
{1, 2, 1},
{1, 3, 3, 1},
{1, 4, 7, 4, 1},
{1, 5, 13, 13, 5, 1},
{1, 6, 21, 30, 21, 6, 1},
{1, 7, 31, 57, 57, 31, 7, 1}
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MATHEMATICA
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Table[Table[2*Binomial[m, n] - (1 + n*(m - n)), {n, 0, m}], {m, 0, 10}] Flatten[%]
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CROSSREFS
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Cf. A086617.
Sequence in context: A022818 A050447 A094525 this_sequence A114197 A108350 A086617
Adjacent sequences: A130668 A130669 A130670 this_sequence A130672 A130673 A130674
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KEYWORD
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nonn,tabl
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AUTHOR
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Roger L. Bagula and Gary Adamson (rlbagulatftn(AT)yahoo.com), Jun 27 2007
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