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A272184
Numbers n such that Bernoulli number B_{n} has denominator 282.
27
46, 322, 782, 874, 1058, 1702, 2162, 2254, 2714, 2806, 3266, 3634, 4646, 4738, 4922, 5014, 6118, 6302, 6394, 6854, 7222, 7406, 7682, 8326, 8878, 9062, 9154, 9706, 10442, 10534, 11822, 11914, 12098, 12374, 12466, 13018, 13294, 14122, 14306, 14398, 14582
OFFSET
1,1
COMMENTS
282 = 2 * 3 * 47.
All terms are multiples of a(1) = 46.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 41.
LINKS
EXAMPLE
Bernoulli B_{46} is 596451111593912163277961/282, hence 46 is in the sequence.
MAPLE
with(numtheory): P:=proc(q, h) local n; for n from 2 by 2 to q do
if denom(bernoulli(n))=h then print(n); fi; od; end: P(10^6, 282);
MATHEMATICA
Select[46 Range@ 320, Denominator@ BernoulliB@ # == 282 &] (* Michael De Vlieger, Apr 29 2016 *)
PROG
(PARI) isok(n) = denominator(bernfrac(n)) == 282; \\ Michel Marcus, Apr 22 2016
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Apr 22 2016
EXTENSIONS
a(13)-a(28) from Michel Marcus, Apr 22 2016
a(29)-a(41) from Altug Alkan, Apr 22 2016
STATUS
approved