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A075891 Quotient C[p(n),{p(n)+-1}/2]/p(n), where p(n)=n-th prime. 0

%I #8 May 25 2013 05:43:17

%S 1,2,5,42,132,1430,4862,58786,2674440,9694845,477638700,6564120420,

%T 24466267020,343059613650,18367353072152,1002242216651368,

%U 3814986502092304,212336130412243110,3116285494907301262

%N Quotient C[p(n),{p(n)+-1}/2]/p(n), where p(n)=n-th prime.

%C A prime p divides all the binomial coefficients (save the extremes) in the p-th row of Pascal's triangle.

%C Same as Catalan( (p(n) - 1) / 2). - _Jonathan Sondow_, May 24 2013

%F a(n) = A000108( (A000040(n) - 1) / 2). - _Jonathan Sondow_, May 24 2013

%Y Cf. A000108.

%K nonn

%O 2,2

%A _Lekraj Beedassy_, Oct 17 2002

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Last modified April 19 07:26 EDT 2024. Contains 371782 sequences. (Running on oeis4.)