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A073099
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Numerator of b(n) = n * Sum_{k=2^n..2^(n+1)-1} (-1)^k/k.
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4
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1, 31, 12307, 1180906852403, 4726403852635437852230311, 26387151472737581442533784610190235872453672267436617, 16379090991119093215568426722482532968867795792384100101494022155108529793899838205018451949281878220687877
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OFFSET
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1,2
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LINKS
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FORMULA
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Sum_{k>=1} b(k) = gamma = 0.5772... (A001620).
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EXAMPLE
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The fractions begin with 1/6, 31/210, 12307/120120, 1180906852403/18050444111700, ...
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MATHEMATICA
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a[n_] := Numerator[n * Sum[(-1)^k/k, {k, 2^n, 2^(n+1)-1}]]; Array[a, 7] (* Amiram Eldar, May 19 2022 *)
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PROG
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(PARI) a(n)=numerator( n*sum(k=2^n, 2^(n+1)-1, (-1)^k/k))
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CROSSREFS
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KEYWORD
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easy,frac,nonn
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AUTHOR
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STATUS
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approved
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