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Search: id:A104792
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| A104792 |
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Square pyramidal number triangle, read by rows. |
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+0
1
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| 1, 5, 1, 14, 5, 1, 30, 14, 5, 1, 55, 30, 14, 5, 1, 91, 55, 30, 14, 5, 1, 140, 91, 55, 30, 14, 5, 1, 204, 140, 91, 55, 30, 14, 5, 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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Sequence A000330: (1, 5, 14, 30, 55...) is the convolution of the natural numbers with (1, 3, 5...).
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FORMULA
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n terms of Square pyramidal numbers (A000330) in every row, starting from the right with "1": 1, 5, 14, 30, 55, 91, 140... The triangle is extracted from the product A * B, A = [1; 2, 1;, 3, 2, 1;...]; B = [1; 3, 1; 5, 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;
14, 5, 1;
30, 14, 5, 1;
55, 30, 14, 5, 1;
91, 55, 30, 14, 5, 1;
...
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CROSSREFS
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Cf. A000330.
Sequence in context: A081224 A104793 A067558 this_sequence A120393 A094368 A087727
Adjacent sequences: A104789 A104790 A104791 this_sequence A104793 A104794 A104795
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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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