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Search: id:A098796
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| A098796 |
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Sequence related to a congruence property for the Catalan numbers. |
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+0
1
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| 1, 1, 3, 19, 1527, 16001, 2079863, 25138879, 3977502767, 9094756956909, 123064080712655, 323237794212444689, 63954318104304685581, 908009997951266138587, 185964440670918582766943
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OFFSET
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1,3
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FORMULA
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a(n) = (Catalan(P_n-1)+1)/P_n where P_n is the n-th prime and Catalan(k) is the Catalan number binomial(2k, k)/(k+1).
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EXAMPLE
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a(4)=(132+1)/7=19
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MAPLE
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with(numtheory): catalan_divise:=proc(n) (binomial(2*n-2, n-1)/n+1)/n end: seq(catalan_divise(ithprime(i)), i=1..20);
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CROSSREFS
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Cf. A000108, A000040.
Sequence in context: A136372 A107706 A114301 this_sequence A120563 A164063 A117844
Adjacent sequences: A098793 A098794 A098795 this_sequence A098797 A098798 A098799
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KEYWORD
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nonn
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AUTHOR
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Frederic Chapoton (fchapoton(AT)voila.fr), Oct 05 2004
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