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Search: id:A134059
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| A134059 |
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T(n,k) = 3*binomial(n,k), if k>0, (0<=k<=n), left column = (1,3,3,3,...). |
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+0
6
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| 1, 3, 3, 3, 6, 3, 3, 9, 9, 3, 3, 12, 18, 12, 3, 3, 15, 30, 30, 15, 3, 3, 18, 45, 60, 45, 18, 3, 3, 21, 63, 105, 105, 63, 21, 3, 3, 24, 84, 168, 210, 168, 84, 24, 3, 3, 27, 108, 252, 378, 378, 252, 108, 27, 3
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A082505: (1, 6, 12, 24, 48, 96,...). A134058 = analogous triangle using the operation 2*binomial(n,k).
Triangle T(n,k), 0<=k<=n, read by rows given by [3, -2, 0, 0, 0, 0, 0, ...]DELTA [3, -2, 0, 0, 0, 0, 0, ...] where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 07 2007
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FORMULA
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M*A003718, where M = an infinite lower triangular matrix with (1,3,3,3,...) in the main diagonal and the rest zeros. 3*Pascal's triangle, then replace T(0,0) with 1.
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EXAMPLE
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First few rows of the triangle are:
1;
3, 3;
3, 6, 3;
3, 9, 9, 3;
3, 12, 18, 12, 3;
3, 15, 30, 30, 15, 3;
3, 18, 45, 60, 45, 18, 3;
...
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CROSSREFS
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Cf. A082505, A134058.
Sequence in context: A100026 A100049 A158315 this_sequence A112669 A098529 A133774
Adjacent sequences: A134056 A134057 A134058 this_sequence A134060 A134061 A134062
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 05 2007
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