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A126807 Numbers n such that partial sum of Catalan numbers A014138(n) is a prime. +0
1
1, 8, 10, 30, 45, 145, 794, 2772, 2787 (list; graph; listen)
OFFSET

1,2

MAPLE

s[0]:=1: for n to 1000 do s[n]:= s[n-1]+binomial(2*n+2, n+1)/(n+2) end do: a:= proc (n) if isprime(s[n]) = true then n else end if end proc: seq(a(n), n= 0.. 1000); -Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 28 2007

MATHEMATICA

s = 0; Do[s = s + (2n)!/n!/(n+1)!; If[ PrimeQ[s], Print[n-1]], {n, 200}]

CROSSREFS

Cf. A014138, A000108. Cf. A014137, A121852 = numbers n such that partial sum of Catalan numbers A014137(n) is a prime.

Adjacent sequences: A126804 A126805 A126806 this_sequence A126808 A126809 A126810

Sequence in context: A024869 A108940 A007939 this_sequence A091632 A060768 A060809

KEYWORD

more,nonn

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Feb 23 2007

EXTENSIONS

3 more terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Aug 28 2007

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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