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Search: id:A134634
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| A134634 |
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Triangle formed by Pascal's rule with left borders = A000108. |
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+0
2
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| 1, 1, 1, 2, 2, 2, 5, 4, 4, 5, 14, 9, 8, 9, 14, 42, 23, 17, 17, 23, 42, 132, 65, 40, 34, 40, 65, 132, 429, 197, 105, 74, 74, 105, 197, 429, 1430, 626, 299, 179, 148, 179, 299, 626, 1430, 4862, 2056, 925, 478, 327, 327, 478, 925, 2056, 4862
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Row sums = A134635: (1, 2, 6, 18, 54, 164,...).
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FORMULA
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Triangle, given right and left borders consist of the Catalan sequence, A000108; then T(n,k) = T(n-1,k) + T(n-1,k-1).
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EXAMPLE
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First few rows of the triangle are:
1;
1, 1;
2, 2, 2;
5, 4, 4, 5;
14, 9, 8, 9, 14;
42, 23, 17, 17, 23, 42;
132, 65, 40, 34, 40, 65, 132;
...
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CROSSREFS
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Cf. A000108, A134635.
Sequence in context: A061311 A115253 A076737 this_sequence A103286 A058704 A098101
Adjacent sequences: A134631 A134632 A134633 this_sequence A134635 A134636 A134637
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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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