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Search: id:A104734
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| A104734 |
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Triangle, row sums = A001891, convolution of natural numbers with Fibonacci numbers. |
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+0
1
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| 1, 3, 1, 5, 4, 1, 7, 8, 5, 1, 9, 12, 12, 6, 1, 11, 16, 20, 17, 7, 1, 13, 20, 28, 32, 23, 8, 1, 15, 24, 36, 48, 49, 30, 9, 1
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A001891, convolution of natural numbers with Fibonacci numbers: 1, 4, 10, 21, 40, 72, 125, 212...
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FORMULA
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Extract the triangle from A * B; A = [1; 3, 1; 5, 3, 1;...] B = [1; 0, 1; 0, 1, 1; 0, 0, 2, 1; 0, 0, 1, 3, 1;...]; both infinite lower triangular matrices with the rest of the terms zeros. B as a sequence = A026729.
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EXAMPLE
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First few rows of the triangle are:
1;
3, 1;
5, 4, 1;
7, 8, 5, 1;
9, 12, 12, 6, 1;
11, 16, 20, 17, 7, 1;
...
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CROSSREFS
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Cf. A001891, A026729.
Sequence in context: A112447 A002323 A117853 this_sequence A029655 A110813 A124883
Adjacent sequences: A104731 A104732 A104733 this_sequence A104735 A104736 A104737
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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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