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Search: id:A134636
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| A134636 |
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Triangle formed by Pascal's rule given borders = 2n-1. |
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+0
2
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| 1, 3, 3, 5, 6, 5, 7, 11, 11, 7, 9, 18, 22, 18, 9, 11, 27, 40, 40, 27, 11, 13, 38, 67, 80, 67, 38, 13, 15, 51, 105, 147, 147, 105, 51, 15, 17, 66, 156, 252, 294, 252, 156, 66, 17, 19, 83, 222, 408, 546, 546, 408, 222, 83, 19
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums = A048487: (1, 6, 16, 36, 76, 156,...).
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FORMULA
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Triangle, given borders = (1, 3, 5, 7, 9,...); apply Pascal's rule T(n,k) = T(n-1,k) P T(n-1,k-1).
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EXAMPLE
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First few rows of the triangle are:
1;
3, 3;
5, 6, 5;
7, 11, 11, 7;
9, 18, 22, 18, 9;
11, 27, 40, 40, 27, 11;
13, 38, 67, 80, 67, 38, 13;
...
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CROSSREFS
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Cf. A048487.
Sequence in context: A087756 A128444 A131948 this_sequence A088564 A078796 A079789
Adjacent sequences: A134633 A134634 A134635 this_sequence A134637 A134638 A134639
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Nov 04 2007
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