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A121852 Numbers n such that partial sum of Catalan numbers A014137(n) is a prime. 2
1, 4, 6, 16, 24, 104, 121, 283, 326, 489, 1387, 1394, 1424, 1435, 1985, 4323, 5221 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Corresponding primes are A014137( a(n)) = {2,23,197,48760367,1757900019101,...}.

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

Catalan numbers A000108(n) begin {1,1,2,5,14,42,132,429,1430,4862,...}.

a(1) = 1 because A014137(1) = 1 + 1 = 2 is prime,

a(2) = 4 because A014137(4) = 1 + 1 + 2 + 5 + 14 = 23 is prime.

MATHEMATICA

s = 1; Do[s = s + (2n)!/((n!)^2(n + 1)); If[PrimeQ@s, Print@n], {n, 17925}] (* Robert G. Wilson v *)

CROSSREFS

Cf. A000108, A014137.

Sequence in context: A120375 A025618 A133572 * A242251 A122537 A059736

Adjacent sequences:  A121849 A121850 A121851 * A121853 A121854 A121855

KEYWORD

hard,nonn

AUTHOR

Alexander Adamchuk, Aug 30 2006

EXTENSIONS

a(11) - a(17) from Robert G. Wilson v, Aug 31 2006

STATUS

approved

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Last modified February 18 23:16 EST 2018. Contains 299330 sequences. (Running on oeis4.)