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 A256778 Decimal expansion of the generalized Euler constant gamma(1,4). 15
 7, 1, 0, 2, 8, 9, 7, 9, 3, 0, 6, 4, 0, 9, 3, 6, 9, 7, 3, 1, 3, 7, 6, 6, 4, 7, 5, 7, 9, 5, 0, 8, 2, 6, 1, 0, 3, 0, 4, 0, 6, 1, 0, 4, 2, 4, 9, 6, 9, 3, 2, 9, 4, 0, 8, 5, 3, 4, 7, 9, 8, 8, 5, 1, 3, 3, 0, 4, 2, 3, 8, 7, 9, 7, 2, 6, 1, 5, 9, 7, 1, 4, 6, 4, 2, 0, 6, 9, 5, 0, 7, 3, 9, 8, 0, 5, 9, 9, 2, 7, 6, 1, 9 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 LINKS G. C. Greubel, Table of n, a(n) for n = 0..10000 D. H. Lehmer, Euler constants for arithmetic progressions, Acta Arith. 27 (1975) p. 134. FORMULA Equals (2*EulerGamma + Pi + 2*log(2))/8. Equals Sum_{n>=0} (1/(4n+1) - 1/2*arctanh(2/(4n+3))). EXAMPLE 0.71028979306409369731376647579508261030406104249693294... MATHEMATICA RealDigits[EulerGamma/4 + Pi/8 + Log[2]/4, 10, 103] // First PROG (PARI) default(realprecision, 100); (2*Euler + Pi + 2*log(2))/8 \\ G. C. Greubel, Aug 27 2018 (MAGMA) R:=RealField(100); (2*EulerGamma(R) + Pi(R) + 2*Log(2))/8; // G. C. Greubel, Aug 27 2018 CROSSREFS Cf. A001620 (EulerGamma), A228725 (gamma(1,2)), A256425 (gamma(1,3)), A256779-A256784 (selection of ruler-and-compass constructible gamma(r,k)). Sequence in context: A229819 A194655 A197037 * A218620 A195911 A231096 Adjacent sequences:  A256775 A256776 A256777 * A256779 A256780 A256781 KEYWORD nonn,cons,easy AUTHOR Jean-François Alcover, Apr 10 2015 STATUS approved

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Last modified December 12 09:36 EST 2019. Contains 329953 sequences. (Running on oeis4.)