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

Author

Paolo P. Lava, Apr 22 2016

Keywords

• nonn

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.

Examples

			Bernoulli B_{44} is -27833269579301024235023/690, hence 44 is in the sequence.
		

Links

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

Crossrefs

Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185.

Programs

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);

PARI

isok(n) = denominator(bernfrac(n)) == 690; \\ Michel Marcus, Apr 22 2016

Extensions

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

More terms from Altug Alkan, Apr 22 2016