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Search: id:A104634
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| A104634 |
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Triangle, row sums = 4-D pyramidal numbers. |
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+0
2
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| 1, 5, 2, 14, 8, 3, 30, 20, 11, 4, 55, 40, 26, 14, 5, 91, 70, 50, 32, 17, 6, 140, 112, 85, 60, 38, 20, 7, 204, 168, 133, 100, 70, 44, 23, 8
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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A * B generates the triangle A104633 having row sums A000332 (Bin(n,4)). Column 1 of A104634 = A000330 (square pyramidal numbers). Col. 2 = A007290. Col. 3 = A051925 Row sums of A104634 = A001296 (4-D pyramidal numbers: 1, 7, 25, 65, 140...)
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FORMULA
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The triangle is extracted from the product B * A; B = [1; 1, 2; 1, 2, 3;...], A = [1; 2, 1; 3, 2, 1...]; both infinite lower triangular matrices, with the rest of the terms zeros.
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EXAMPLE
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The first few rows are:
1;
5, 2;
14, 8, 3;
30, 20, 11, 4;
55, 40, 26, 14, 5;
91, 70, 50, 32, 17, 6;
...
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CROSSREFS
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Cf. A000330, A007290, A051925, A001296, A104633, A000332.
Sequence in context: A013946 A085436 A158868 this_sequence A060422 A128142 A111267
Adjacent sequences: A104631 A104632 A104633 this_sequence A104635 A104636 A104637
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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 18 2005
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