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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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS G. C. Greubel, Table of n, a(n) for n = 1..10000 Steven R. Finch, Errata and Addenda to Mathematical Constants. p. 9. 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 Cf. A001620, A073002. Sequence in context: A277235 A241058 A248570 * A263030 A217171 A197381 Adjacent sequences:  A242048 A242049 A242050 * A242052 A242053 A242054 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Aug 13 2014 STATUS approved

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Last modified December 4 11:28 EST 2021. Contains 349486 sequences. (Running on oeis4.)