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A181722
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Numerator of (1/n - Bernoulli number A164555(n)/A027642(n)).
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3
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0, 0, 1, 1, 7, 1, 5, 1, 13, 1, 1, 1, 901, 1, -11, 1, 3647, 1, -43825, 1, 1222387, 1, -854507, 1, 1181821001, 1, -76977925, 1, 23749461059, 1, -8615841275543, 1, 28267510484519, 1
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OFFSET
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1,5
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COMMENTS
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An autosequence is a sequence whose inverse binomial transform is the sequence signed. In integers, the oldest example is Fibonacci A000045. In fractions, A164555/A027642 is the son of 1/n via the Akiyama-Tanigawa algorithm; grandson is (A174110/A174111) = 1/2,2/3,1/2,2/15,... ; see A164020. See A174341/A174342. All are from the same family.
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LINKS
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EXAMPLE
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Fractions are 0, 0, 1/6, 1/4, 7/30, 1/6, 5/42, 1/8, 13/90, 1/10, 1/66, 1/12, 901/2730, ...
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MATHEMATICA
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a[n_] := If[n <= 2, 0, Numerator[1/n - BernoulliB[n-1]]];
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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