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Search: id:A104796
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| A104796 |
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Fibonacci, Lucas convolution triangle by rows. |
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+0
1
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| 1, 4, 1, 9, 4, 1, 20, 9, 4, 1, 40, 20, 9, 4, 1, 78, 40, 20, 9, 4, 1, 147, 78, 40, 20, 9, 4, 1, 272, 147, 78, 40, 20, 9, 4, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums = A094584: 1, 5, 14, 34, 74, 152, 299,
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FORMULA
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Given A023607 (convolution of Fibonacci and Lucas sequences: 1, 4, 9, 20, 40...); n-th row of the triangle = n terms of A023607 starting from the right with "1". Perform A * B and extract the triangle from the infinite lower triangular matrix; where A = [1; 1, 1; 2, 1, 1; 3, 2, 1, 1;...]; B = [1; 3, 1; 4, 3, 1; 7, 4, 3, 1;...]; both infinite lower triangular matrices of A104762 and A104765 respectively.
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EXAMPLE
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First few rows of the triangle are:
1;
4, 1;
9, 4, 1;
20, 9, 4, 1;
40, 20, 9, 4, 1;
78, 40, 20, 9, 4, 1;
...
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CROSSREFS
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Cf. A023607, A094584, A104762, A104765.
Sequence in context: A085383 A085691 A055461 this_sequence A132020 A073364 A125165
Adjacent sequences: A104793 A104794 A104795 this_sequence A104797 A104798 A104799
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KEYWORD
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nonn,tabl,uned
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 26 2005
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