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 A249134 Numbers k such that Bernoulli number B_k has denominator 2730. 29
 12, 24, 1308, 1884, 2004, 2364, 2532, 2724, 3804, 4008, 4044, 4188, 4236, 4668, 5052, 5064, 5268, 5388, 5484, 6252, 6492, 6564, 6756, 6852, 7044, 7188, 7356, 7404, 7608, 7764, 8124, 8412, 8472, 8796, 9084, 9228, 9852, 9876, 9924 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 2730 = 2 * 3 * 5 * 7 * 13. LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 EXAMPLE BernoulliB(12) is -691/2730, hence 12 is in the sequence. MATHEMATICA Reap[For[n = 0, n <= 10^4, n = n+12, If[Denominator[BernoulliB[n]] == 2730, Print[n]; Sow[n]]]][[2, 1]] Select[Table[n, {n, 2, 10000}], Denominator@BernoulliB[#]==2730 &] (* Vincenzo Librandi, Apr 02 2015 *) PROG (PARI) is(n)=denominator(bernfrac(n))==2730 \\ Charles R Greathouse IV, Oct 22 2014 (PARI) is(n)=if(n%12 || n%16==0 || n%9==0, return(0)); forprime(p=5, 107, if(n%p==0, return(0))); fordiv(n, d, if(isprime(d+1) && d>13, return(0))); 1 \\ Charles R Greathouse IV, Oct 22 2014 CROSSREFS Cf. A000367, A002445, A006954, A027642, A027760, A027762, A051222, A051225-A051230, A245056, A271634, A271635, A272138, A272139, A272140, A272183, A272184, A272185, A272186. Sequence in context: A154268 A058994 A198808 * A323195 A033165 A224676 Adjacent sequences: A249131 A249132 A249133 * A249135 A249136 A249137 KEYWORD nonn AUTHOR Jean-François Alcover and Paul Curtz, Oct 22 2014 STATUS approved

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Last modified May 29 10:54 EDT 2024. Contains 372938 sequences. (Running on oeis4.)