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Search: id:A104259
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| A104259 |
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Triangle T read by rows: matrix product of Pascal and Catalan triangle. |
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+0
3
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| 1, 2, 1, 5, 4, 1, 15, 14, 6, 1, 51, 50, 27, 8, 1, 188, 187, 113, 44, 10, 1, 731, 730, 468, 212, 65, 12, 1, 2950, 2949, 1956, 970, 355, 90, 14, 1, 12235, 12234, 8291, 4356, 1785, 550, 119, 16, 1, 51822, 51821, 35643, 19474, 8612, 3021, 805, 152, 18, 1
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Also, Riordan array (G,G), G(t)={1 - [(1-5t)/(1-t)]^(1/2)}/(2t).
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LINKS
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D. Merlini, R. Sprugnoli and M. C. Verri, An algebra for proper generating trees
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EXAMPLE
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1
2,1
5,4,1
15,14,6,1
51,50,27,8,1
188,187,113,44,10,1
731,730,468,212,65,12,1
2950,2949,1956,970,355,90,14,1
12235,12234,8291,4356,1785,550,119,16,1
51822,51821,35643,19474,8612,3021,805,152,18,1
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CROSSREFS
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T = A007318 * A033184.
Left-hand columns include A007317, A007317 - 1. Row sums are in A002212.
Adjacent sequences: A104256 A104257 A104258 this_sequence A104260 A104261 A104262
Sequence in context: A039598 A128738 A126181 this_sequence A137650 A110271 A073107
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KEYWORD
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nonn,tabl
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AUTHOR
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Ralf Stephan, Mar 17 2005
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