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Search: id:A104793
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| A104793 |
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Lucas, natural number convolution triangle, read by rows. |
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+0
1
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| 1, 5, 1, 13, 5, 1, 28, 13, 5, 1, 54, 28, 13, 5, 1, 98, 54, 28, 13, 5, 1, 171, 98, 54, 28, 13, 5, 1, 291, 171, 98, 54, 28, 13, 5, 1
(list; table; graph; listen)
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OFFSET
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1,2
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FORMULA
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Every row = A023537: 1, 5, 13, 28, 54, 98...starting from the right, where A023537 = the convolution of natural numbers with Lucas numbers. The triangle is extracted from A * B; A = [1; 2, 1; 3, 2, 1;...]; B = [1; 3, 1; 4, 3, 1; 7, 4, 3, 1;...]; both infinite lower triangular matrices with the rest of the terms zeros.
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EXAMPLE
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First few rows of the triangle are:
1;
5, 1;
13, 5, 1;
28, 13, 5, 1;
54, 28, 13, 5, 1;
98, 54, 28, 13, 5, 1;
...
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CROSSREFS
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Cf. A023537, A104765.
Adjacent sequences: A104790 A104791 A104792 this_sequence A104794 A104795 A104796
Sequence in context: A062264 A094049 A081224 this_sequence A067558 A104792 A120393
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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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