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Search: id:A104633
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| A104633 |
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Triangle, row sums = binomial (n,4). |
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+0
2
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| 1, 3, 2, 6, 6, 3, 10, 12, 9, 4, 15, 20, 18, 12, 5, 21, 30, 30, 24, 15, 6, 28, 42, 45, 40, 30, 18, 7, 36, 56, 63, 60, 50, 36, 21, 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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A104634 is the triangle generated from B * A instead of A * B. Row sums of A104633 = A000332: 1, 5, 15, 35, 70...(binomial n,4)). Row sums of A104634 = A001296, 4-dimensional pryamidal numbers.
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FORMULA
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n-th offset column = the sequence n * T(n), n starts with 1. The triangle is extracted from the product:(A * B) = [1; 2, 1; 3, 2, 1;...] * [1; 1, 2; 1, 2, 3;...] (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:
1;
3, 2;
6, 6, 3;
10, 12, 9, 4;
15, 20, 18, 12, 5;
21, 30, 30, 24, 15, 6;
28, 42, 45, 40, 30, 18, 7;
36, 56, 63, 60, 50, 36, 21, 8;
...
e.g. Col. 3 = 3 * (1, 3, 6, 10, 15...) = 3, 9, 18, 30, 45...
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CROSSREFS
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Cf. A104634, A001296, A000332.
Sequence in context: A125675 A072787 A107271 this_sequence A102022 A064684 A060408
Adjacent sequences: A104630 A104631 A104632 this_sequence A104634 A104635 A104636
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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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