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Search: id:A096035
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| A096035 |
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Triangle with row sums = A016127, (expansion of 1/((1-2x)(1-5x)). |
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+0
1
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| 1, 5, 2, 21, 15, 3, 85, 84, 30, 4, 341, 425, 210, 50, 5, 1365, 2046, 1275, 420, 75, 6, 5461, 9555, 7161, 2975, 735, 105, 7
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OFFSET
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0,2
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COMMENT
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Leftmost column of the triangle = A002450: 1, 5, 21, 85, 341...
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FORMULA
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Let M = the infinite lower triangular Pascal's triangle matrix. Then A096035 = (M^4 - M) * (1/3).
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EXAMPLE
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Let P = a 4 X 4 lower triangular Pascal's triangle matrix. Then (P^4 - P) * (1/3) = [0 0 0 0 / 1 0 0 0 / 5 2 0 0 / 21 15 3 0]. Remove the zeros to get the first 3 rows of A096035: 1; 5, 2; 21, 15, 3.
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CROSSREFS
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Cf. A016127, A002450.
Sequence in context: A111267 A087958 A130329 this_sequence A036165 A034079 A090882
Adjacent sequences: A096032 A096033 A096034 this_sequence A096036 A096037 A096038
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KEYWORD
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nonn,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Jun 17 2004
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