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A272183 Numbers n such that Bernoulli number B_{n} has denominator 330. 27
20, 340, 1220, 1420, 2020, 2980, 3340, 3940, 4460, 4540, 4580, 5140, 5660, 5780, 6260, 6340, 6620, 6940, 7060, 7580, 7660, 7780, 7940, 8020, 8980, 9140, 9260, 9580, 10420, 10820, 11140, 11380, 11740, 12140, 12340, 12860, 13220, 13540, 14020, 15020, 15140, 15740, 15940, 16540, 16780 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
330 = 2 * 3 * 5 * 11.
All terms are multiple of a(1) = 20.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 289.
LINKS
EXAMPLE
Bernoulli B_{20} is -174611/330, hence 20 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, 330);
MATHEMATICA
Select[20 Range@ 850, Denominator@ BernoulliB@ # == 330 &] (* Michael De Vlieger, Apr 29 2016 *)
PROG
(PARI) isok(n) = denominator(bernfrac(n)) == 330; \\ Michel Marcus, Apr 22 2016
CROSSREFS
Sequence in context: A166984 A167031 A268787 * A005748 A230236 A093144
KEYWORD
nonn
AUTHOR
Paolo P. Lava, Apr 22 2016
EXTENSIONS
a(15)-a(29) from Michel Marcus, Apr 22 2016
a(30)-a(45) from Altug Alkan, Apr 22 2016
STATUS
approved

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Last modified March 28 05:39 EDT 2024. Contains 371235 sequences. (Running on oeis4.)