A255684 Bernoulli number B_{n} has denominator 354.

58, 406, 754, 986, 1682, 1798, 2146, 2494, 2726, 3422, 3886, 4118, 4234, 5626, 5858, 5974, 6206, 7366, 7946, 8062, 8642, 8758, 9106, 9454, 9686, 11194, 11426, 11542, 11774, 12586, 12934, 13166, 13282, 13978, 14906, 15022, 15254, 15602, 15718, 16414, 17458, 18038, 18154, 18386, 19198, 19546

Offset: 1

Author

Paolo P. Lava, Mar 30 2015

Keywords

• nonn
• easy

Comments

All terms are multiples of a(1) = 58.

Numerator(B_{n}) mod Denominator(B_{n}) = 53.

Examples

			B_{58} = 84483613348880041862046775994036021 / 354.
		

Links

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

Crossrefs

Cf. A045979, A051222, A051225-A051230, A119456, A119480, A249134,

A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186.

Programs

Magma

[n: n in [0..1000] | Denominator(Bernoulli(n)) eq 354]; // Vincenzo Librandi, Apr 06 2015

Maple

with(numtheory): P:=proc(q) local n; for n from 2 by 2 to q do
if denom(bernoulli(n))=354 then print(n); fi; od; end: P(10^5);

Mathematica

Select[Range@ 10000, Denominator@ BernoulliB@# == 354 &] (* Michael De Vlieger, Mar 31 2015 *)

PARI

isok(n) = denominator(bernfrac(n)) == 354; \\ Michel Marcus, Apr 22 2016

Extensions

More terms from Michael De Vlieger, Mar 31 2015