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A147304 a(n) = Sum_{k=1..prime(n)^2-1} binomial(2k,k). 2
28, 17576, 43308802158650, 8610524734277600186228691452, 121374542758943982922417964798154019940274699584207321286055873543631298, 8126392396649531937838689708830356413772063825711016912849229977138431439363305375418692100492504264 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
D. Callan, Divisibility of a Central Binomial Sum: Problem A11292 and A11307, Amer. Math. Monthly, 116 (2009), 468-470.
MATHEMATICA
Table[Sum[Binomial[2k, k], {k, Prime[n]^2-1}], {n, 7}] (* Harvey P. Dale, Dec 26 2014 *)
PROG
(PARI) a(n) = sum(k=1, prime(n)^2-1, binomial(2*k, k)); \\ Michel Marcus, Jul 07 2018
CROSSREFS
Sequence in context: A085408 A159419 A147291 * A221897 A280283 A221928
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Apr 25 2009
STATUS
approved

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Last modified August 31 11:13 EDT 2024. Contains 375560 sequences. (Running on oeis4.)