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Search: id:A096040
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| A096040 |
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Triangle, row sums = A016130 (expansion of 1/((1-2x)(1-7x)). |
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1
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| 1, 7, 2, 43, 21, 3, 259, 172, 42, 4, 1555, 1295, 430, 70, 5, 9331, 9330, 3885, 860, 105, 6, 55987, 65317, 32655, 9065, 1505, 147, 7
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OFFSET
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1,2
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COMMENT
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Row sums = A016130: 1, 9, 67, 477...(expansion of 1/((1-2x)(1-7x)). Leftmost column = A003464 ((6^n - 1)/5): 1, 7, 43, 259...
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FORMULA
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Let M = the infinite lower triangular Pascal's triangle matrix. A096040 = (M^6 - M) * (1/5).
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EXAMPLE
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Let P = 4 X 4 lower triangular Pascal's Triangle matrix [1 0 0 0 / 1 1 0 0 / 1 2 1 / 1 3 3 1]. Then (P^6 - P) * (1/5) = [ 0 0 0 0 / 1 0 0 0 / 7 2 0 0 / 43 21 3 0]. Delete the zeros getting the first 3 rows of A096040: 1; 7, 2; 43, 21, 3.
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CROSSREFS
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Cf. A016130, A003464.
Adjacent sequences: A096037 A096038 A096039 this_sequence A096041 A096042 A096043
Sequence in context: A050092 A030406 A096900 this_sequence A038268 A100983 A103237
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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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