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Search: id:A096041
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| A096041 |
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Triangle, row sums = A016131 (expansion of 1/((1-2x)(1-8x)). |
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+0
1
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| 1, 8, 2, 57, 24, 3, 400, 228, 48, 4, 2801, 2000, 570, 80, 5, 19608, 16806, 6000, 1140, 6, 137257, 137256, 58821, 14000, 1995, 168, 7
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OFFSET
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1,2
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COMMENT
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Row sums = A016131, (expansion of 1/((1-2x)(108x)): 1, 10, 84, 680... Leftmost column = A023000 ((7^n-1)/6): 1, 8, 57, 400, 2801...
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FORMULA
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Let M = the infinite lower triangular Pascal's triangle matrix. Then A096041 = (M^7 - M) * (1/6).
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EXAMPLE
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Let P = the 4 X 4 lower triangular Pascal's triangle matrix [1 0 0 0 / 1 1 0 0 / 1 2 1 0 / 1 3 3 1]. (P^7 - P) * (1/6) = [0 0 0 0 / 1 0 0 0 / 8 2 0 0 / 57 24 3 0]. Delete the zeros, getting the first 3 rows of A096041: 1; 8, 2; 57, 24, 3. 57, .Pria3
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CROSSREFS
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Cf. A016131, A023000.
Adjacent sequences: A096038 A096039 A096040 this_sequence A096042 A096043 A096044
Sequence in context: A050096 A008866 A006708 this_sequence A038280 A032761 A093082
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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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