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A271635 Numbers n such that Bernoulli number B_{n} has denominator 138. 27

%I #27 Apr 29 2016 10:33:08

%S 22,154,242,286,374,814,1034,1078,1298,1342,1474,1562,1694,1738,2134,

%T 2222,2354,2794,3014,3058,3146,3278,3454,3586,3674,3982,4114,4246,

%U 4334,4378,4906,4994,5654,5698,5786,5918,5962,6094,6226,6754,6842,6886,6974,7414,7634,7678,7766

%N Numbers n such that Bernoulli number B_{n} has denominator 138.

%C 138 = 2 * 3 * 23.

%C All terms are multiple of a(1) = 22.

%C For these numbers numerator(B_{n}) mod denominator(B_{n}) = 17.

%H Seiichi Manyama, <a href="/A271635/b271635.txt">Table of n, a(n) for n = 1..1000</a>

%e Bernoulli B_{22} is 854513/138, hence 22 is in the sequence.

%p with(numtheory): P:=proc(q,h) local n; for n from 2 by 2 to q do

%p if denom(bernoulli(n))=h then print(n); fi; od; end: P(10^6,138);

%t Select[Range[0, 1000], Denominator[BernoulliB[#]] == 138 &] (* _Robert Price_, Apr 21 2016 *)

%o (PARI) isok(n) = denominator(bernfrac(n)) == 138; \\ _Michel Marcus_, Apr 22 2016

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

%K nonn,easy

%O 1,1

%A _Paolo P. Lava_, Apr 21 2016

%E More terms from _Michel Marcus_, Apr 22 2016

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Last modified April 19 10:31 EDT 2024. Contains 371791 sequences. (Running on oeis4.)