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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
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
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 September 22 19:55 EDT 2024. Contains 376138 sequences. (Running on oeis4.)