A272184 Numbers n such that Bernoulli number B_{n} has denominator 282.

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

Seiichi Manyama, Table of n, a(n) for n = 1..1000

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

Crossrefs

Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272185, A272186.

Sequence in context: A289274 A296402 A077734 * A213286 A135735 A160285

Adjacent sequences: A272181 A272182 A272183 * A272185 A272186 A272187

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