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A271635
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Numbers n such that Bernoulli number B_{n} has denominator 138.
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27
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22, 154, 242, 286, 374, 814, 1034, 1078, 1298, 1342, 1474, 1562, 1694, 1738, 2134, 2222, 2354, 2794, 3014, 3058, 3146, 3278, 3454, 3586, 3674, 3982, 4114, 4246, 4334, 4378, 4906, 4994, 5654, 5698, 5786, 5918, 5962, 6094, 6226, 6754, 6842, 6886, 6974, 7414, 7634, 7678, 7766
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OFFSET
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1,1
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COMMENTS
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138 = 2 * 3 * 23.
All terms are multiple of a(1) = 22.
For these numbers numerator(B_{n}) mod denominator(B_{n}) = 17.
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LINKS
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EXAMPLE
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Bernoulli B_{22} is 854513/138, hence 22 is in the sequence.
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MAPLE
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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, 138);
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MATHEMATICA
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Select[Range[0, 1000], Denominator[BernoulliB[#]] == 138 &] (* Robert Price, Apr 21 2016 *)
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PROG
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(PARI) isok(n) = denominator(bernfrac(n)) == 138; \\ Michel Marcus, Apr 22 2016
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CROSSREFS
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Cf. A045979, A051222, A051225, A051226, A051227, A051228, A051229, A051230, A119456, A119480, A249134, A255684, A271634, A272138, A272139, A272140, A272183, A272184, A272185, A272186.
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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