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A098796
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Sequence related to a congruence property for the Catalan numbers.
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0
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1, 1, 3, 19, 1527, 16001, 2079863, 25138879, 3977502767, 9094756956909, 123064080712655, 323237794212444689, 63954318104304685581, 908009997951266138587, 185964440670918582766943
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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FORMULA
| 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
| a(4)=(132+1)/7=19
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MAPLE
| 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
| Cf. A000108, A000040.
Sequence in context: A168591 A114301 A192340 * A120563 A191623 A164063
Adjacent sequences: A098793 A098794 A098795 * A098797 A098798 A098799
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KEYWORD
| nonn
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AUTHOR
| Frederic Chapoton (fchapoton(AT)voila.fr), Oct 05 2004
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