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Search: id:A104710
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| A104710 |
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Triangle read by rows: reversed partial sums of Narayana triangle rows. |
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+0
2
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| 1, 2, 1, 5, 4, 1, 14, 13, 7, 1, 42, 41, 31, 11, 1, 132, 131, 116, 66, 16, 1, 429, 428, 407, 302, 127, 22, 1, 1430, 1429, 1401, 1205, 715, 225, 29, 1, 4862, 4861, 4825, 4489, 3313, 1549, 373, 37, 1, 16796, 16795, 16750, 16210, 13690, 8398, 3106, 586, 46, 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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The first column is A000108, the Catalan numbers.
If triangles are viewed as lower triangular matrices, then this triangle is A*B where A is the Narayana triangle A001263, and B is the triangle filled with ones.
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FORMULA
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For 1 <= k <= n, T(n, k) = Sum_{i=k..n} A001263(n, i).
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CROSSREFS
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Cf. A000108, A001263.
Sequence in context: A103415 A054456 A096164 this_sequence A039598 A128738 A126181
Adjacent sequences: A104707 A104708 A104709 this_sequence A104711 A104712 A104713
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 19 2005
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EXTENSIONS
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Edited and extended by David Wasserman (wasserma(AT)spawar.navy.mil), Nov 02 2005
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