login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A272369 Numbers n such that Bernoulli number B_{n} has denominator 1410. 15
92, 184, 1564, 1748, 2116, 3496, 4232, 4324, 5428, 5612, 6532, 8648, 9476, 9844, 10028, 10856, 11224, 12604, 14444, 15364, 16652, 18124, 18952, 19412, 20056, 20884, 21068, 23644, 24932, 26036, 26588, 28612, 28796, 28888, 29164, 30728, 31004, 31924, 32108, 32476, 33304, 34868, 35236, 35788, 36248, 36524 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

1410 = 2 * 3 * 5 * 47.

All terms are multiple of a(1) = 92.

For these numbers numerator(B_{n}) mod denominator(B_{n}) = 1333.

LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000

EXAMPLE

Bernoulli B_{92} is -1295585948207537527989427828538576749659341483719435143023316326829946247/1410, hence 92 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, 1410);

MATHEMATICA

Select[92 Range@ 360, Denominator@ BernoulliB@ # == 1410 &] (* Michael De Vlieger, Apr 28 2016 *)

PROG

(PARI) lista(nn) = for(n=1, nn, if(denominator(bernfrac(n)) == 1410, print1(n, ", "))); \\ Altug Alkan, Apr 28 2016

(Python)

from sympy import divisors, isprime

A272369_list = []

for i in range(92, 10**6, 92):

    for d in divisors(i):

        if d not in (1, 2, 4, 46) and isprime(d+1):

            break

    else:

        A272369_list.append(i) # Chai Wah Wu, May 02 2016

CROSSREFS

Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186.

Sequence in context: A252067 A182266 A116215 * A044424 A044805 A063326

Adjacent sequences:  A272366 A272367 A272368 * A272370 A272371 A272372

KEYWORD

nonn,easy

AUTHOR

Paolo P. Lava, Apr 28 2016

EXTENSIONS

a(18)-a(29) from Altug Alkan, Apr 28 2016

More terms from Michael De Vlieger, Apr 28 2016

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 18 02:41 EST 2022. Contains 350410 sequences. (Running on oeis4.)