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A073099 Numerator of b(n) = n*sum(k=2^n,2^(n+1)-1,(-1)^k/k). 3
1, 31, 12307, 1180906852403, 4726403852635437852230311, 26387151472737581442533784610190235872453672267436617, 16379090991119093215568426722482532968867795792384100101494022155108529793899838205018451949281878220687877 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

G. Vacca, "A new series for the Eulerian constant", Quart. J. Pure Appl. Math., 1910, vol. 41, pp. 363-368

LINKS

Table of n, a(n) for n=1..7.

FORMULA

Sum( k>=1, b(k) ) = gamma =0, 5772.....

PROG

(PARI) a(n)=numerator( n*sum(k=2^n, 2^(n+1)-1, (-1)^k/k))

CROSSREFS

Cf. A001620, A073100.

Sequence in context: A119598 A139295 A069451 * A074218 A161395 A215610

Adjacent sequences:  A073096 A073097 A073098 * A073100 A073101 A073102

KEYWORD

easy,frac,nonn

AUTHOR

Benoit Cloitre, Aug 18 2002

STATUS

approved

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Last modified May 20 04:51 EDT 2013. Contains 225448 sequences.