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Search: id:A120379
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| A120379 |
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Number of partitions of the Catalan number binom(2n,n)/(n+1). |
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+0 1
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| 1, 1, 2, 7, 135, 53174, 6620830889, 39020148000237259665, 133523474368721196662101633251149823925
(list; graph; listen)
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OFFSET
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0,3
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LINKS
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Author?, Title
Author?, Title
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EXAMPLE
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a(3)=7 because binom(6,3)/4=5 and the number of partitions of 5 is 7.
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MAPLE
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with(combinat): seq(numbpart(binomial(2*n, n)/(n+1)), n=0..8); - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 23 2006
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PROGRAM
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(Mupad) combinat::partitions::count(binomial(2*n, n)/(n+1)) $n=0..10 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 16 2007
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CROSSREFS
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Cf. A003107, A000108.
Sequence in context: A070521 A000889 A041727 this_sequence A101799 A062617 A064607
Adjacent sequences: A120376 A120377 A120378 this_sequence A120380 A120381 A120382
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KEYWORD
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nonn
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AUTHOR
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Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 28 2006
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EXTENSIONS
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Edited by Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 23 2006
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