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A090814
a(n)=3*(3^prime(n)-1)/denominator(B(2*prime(n))) where prime(n)=n-th prime and B(k) denotes the k-th Bernoulli number.
1
11, 1093, 3851, 797161, 64570081, 581130733, 1001523179, 581613367499, 308836698141973, 225141952945498681, 219716845645607147, 164128483697268538813, 13294407179478751643893, 90575914334953364003723
OFFSET
3,1
COMMENTS
Appears to be an integer for n from 3 up to 250.
MATHEMATICA
pB[n_]:=Module[{p=Prime[n]}, 3 (3^p-1)/Denominator[BernoulliB[2p]]]; Array[ pB, 20, 3] (* Harvey P. Dale, Apr 20 2019 *)
PROG
(PARI) a(n)=3*(3^prime(n)-1)/denominator(bernfrac(2*prime(n)))
CROSSREFS
Sequence in context: A227323 A126197 A355546 * A347846 A319424 A348269
KEYWORD
nonn
AUTHOR
Benoit Cloitre, Feb 11 2004
STATUS
approved