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A242051
Decimal expansion of B, a constant appearing in the asymptotic number of integers the prime factorization of which has decreasing exponents.
1
1, 8, 8, 7, 0, 2, 9, 9, 6, 5, 4, 3, 0, 8, 2, 5, 2, 7, 8, 2, 4, 8, 1, 3, 8, 1, 9, 6, 7, 9, 9, 5, 6, 9, 9, 1, 1, 5, 3, 7, 8, 6, 6, 2, 3, 8, 0, 8, 8, 4, 9, 9, 7, 8, 0, 3, 4, 8, 8, 3, 0, 4, 4, 7, 3, 8, 7, 0, 8, 9, 0, 9, 0, 5, 6, 0, 9, 1, 4, 2, 0, 5, 3, 2, 4, 6, 7, 2, 3, 9, 0, 5, 4, 9, 5, 6, 9, 0, 0, 2, 8, 9, 4, 8, 6
OFFSET
1,2
LINKS
L. B. Richmond, Asymptotic results for partitions (I) and the distribution of certain integers, Journal of Number Theory 8, 372-389 (1976) p. 388.
FORMULA
B = -integral_{y>0} log(1-e^(-y))*log(y) dy = zeta'(2) - (Pi^2/6)*gamma.
MATHEMATICA
RealDigits[Zeta'[2] - (Pi^2/6)*EulerGamma, 10, 105] // First
PROG
(PARI) default(realprecision, 100); zeta'(2) - zeta(2)*Euler \\ G. C. Greubel, Sep 06 2018
CROSSREFS
Sequence in context: A277235 A241058 A248570 * A263030 A217171 A357145
KEYWORD
nonn,cons,easy
AUTHOR
STATUS
approved