A271635 Numbers n such that Bernoulli number B_{n} has denominator 138.

22, 154, 242, 286, 374, 814, 1034, 1078, 1298, 1342, 1474, 1562, 1694, 1738, 2134, 2222, 2354, 2794, 3014, 3058, 3146, 3278, 3454, 3586, 3674, 3982, 4114, 4246, 4334, 4378, 4906, 4994, 5654, 5698, 5786, 5918, 5962, 6094, 6226, 6754, 6842, 6886, 6974, 7414, 7634, 7678, 7766

Offset

1,1

Comments

138 = 2 * 3 * 23.

All terms are multiple of a(1) = 22.

For these numbers numerator(B_{n}) mod denominator(B_{n}) = 17.

Links

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

Example

Bernoulli B_{22} is 854513/138, hence 22 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, 138);

Mathematica

Select[Range[0, 1000], Denominator[BernoulliB[#]] == 138 &] (* Robert Price, Apr 21 2016 *)

Prog

(PARI) isok(n) = denominator(bernfrac(n)) == 138; \\ Michel Marcus, Apr 22 2016

Crossrefs

Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A272138, A272139, A272140, A272183, A272184, A272185, A272186.

Sequence in context: A225008 A240384 A245380 * A130438 A041934 A027943

Adjacent sequences: A271632 A271633 A271634 * A271636 A271637 A271638

Keyword

nonn,easy

Author

Paolo P. Lava, Apr 21 2016

Extensions

More terms from Michel Marcus, Apr 22 2016

Status

approved