A272186 Numbers n such that Bernoulli number B_{n} has denominator 690.

44, 484, 748, 2596, 2684, 3124, 4444, 4708, 6556, 6908, 7964, 8228, 9812, 9988, 11308, 11572, 11836, 11924, 12452, 13684, 13772, 13948, 14828, 15356, 15532, 16148, 16676, 16852, 17468, 17644, 18524, 19316, 19756, 20108, 20284, 20372, 21076, 22924, 23012, 24068, 24772, 25124, 25828, 26444

Offset

1,1

Comments

690 = 2 * 3 * 5 * 23.

All terms are multiple of a(1) = 44.

For these numbers Numerator(B_{n}) mod Denominator(B_{n}) = 637.

Links

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

Example

Bernoulli B_{44} is -27833269579301024235023/690, hence 44 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, 690);

Prog

(PARI) isok(n) = denominator(bernfrac(n)) == 690; \\ 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, A272184, A272185.

Sequence in context: A306036 A160150 A210119 * A222514 A282645 A283541

Adjacent sequences: A272183 A272184 A272185 * A272187 A272188 A272189

Keyword

nonn

Author

Paolo P. Lava, Apr 22 2016

Extensions

a(9)-a(14) from Michel Marcus, Apr 22 2016

More terms from Altug Alkan, Apr 22 2016

Status

approved