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Search: id:A134400
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| A134400 |
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M * A007318, where M = triangle with (1, 1, 2, 3,...) in the main diagonal and the rest zeros. |
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+0
2
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| 1, 1, 1, 2, 4, 2, 3, 9, 9, 3, 4, 16, 24, 16, 4, 5, 25, 50, 50, 25, 5, 6, 36, 90, 120, 90, 36, 6, 7, 49, 147, 245, 245, 147, 49, 7, 8, 64, 224, 448, 560, 448, 224, 64, 8, 9, 81, 324, 756, 1134, 1134, 756, 324, 81, 9
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums = A134401: (1, 2, 8, 24, 64, 160, 384,...).
Triangle T(n,k), read by rows, given by [1,1,-1,1,0,0,0,0,0,...] DELTA [1,1,-1,1,0,0,0,0,0,...] where DELTA is the operator defined in A084938 . A134402*A007318 as infinite lower triangular matrices . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Oct 26 2007
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
2, 4, 2;
3, 9, 9, 3;
4, 16, 24, 16, 4;
5, 25, 50, 50, 25, 5;
6, 36, 90, 120, 90, 36, 6;
7, 49, 147, 245, 245, 147, 49, 7;
...
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MAPLE
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with(combstruct):for n from 0 to 10 do seq(n*count(Combination(n), size=m), m = 0 .. n) od; - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 09 2008
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CROSSREFS
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Cf. A134401.
Sequence in context: A134447 A093056 A141387 this_sequence A016095 A010694 A111737
Adjacent sequences: A134397 A134398 A134399 this_sequence A134401 A134402 A134403
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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 23 2007
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