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Search: id:A104726
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| A104726 |
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Triangle, row sums = Fibonacci numbers convolved with themselves. |
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+0 1
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| 1, 1, 1, 2, 2, 1, 3, 3, 3, 1, 5, 5, 5, 4, 1, 8, 8, 8, 8, 5, 1, 13, 13, 13, 13, 12, 6, 1, 21, 21, 21, 21, 21, 17, 7, 1
(list; table; graph; listen)
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OFFSET
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2,4
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COMMENT
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Triangle A004070 is generated from B * A. Rows sums of A104726 = A001629 starting with n=2: 1, 2, 5, 10, 20, 38, 71...(Fibonacci numbers convolved with themselves).
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FORMULA
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Triangle is extracted from A * B, A = [1; 0, 1; 0, 1, 1; 0, 0, 2, 1; 0, 0, 1, 3, 1;...]; B = [1; 1, 1; 1, 1, 1...], both infinite lower triangular matrices with the rest of the terms zeros. "A": (1, 0, 1, 0, 1, 1, 0, 0, 2, 1...) = A026729.
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EXAMPLE
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First few rows of the triangle are
1;
1, 1;
2, 2, 1;
3, 3, 3, 1;
5, 5, 5, 4, 1;
8, 8, 8, 8, 5, 1;
13, 13, 13, 13, 12, 6, 1;
21, 21, 21, 21, 21, 17, 7, 1;
...
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CROSSREFS
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Cf. A001629, A026729, A004070, A000071.
Adjacent sequences: A104723 A104724 A104725 this_sequence A104727 A104728 A104729
Sequence in context: A011373 A117915 A097094 this_sequence A091224 A112182 A112209
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KEYWORD
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nonn,uned,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 20 2005
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