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A155739 Decimal expansion of the Euler-Mascheroni constant divided by 2. 3
2, 8, 8, 6, 0, 7, 8, 3, 2, 4, 5, 0, 7, 6, 6, 4, 3, 0, 3, 0, 3, 2, 5, 6, 0, 4, 5, 0, 4, 1, 2, 0, 1, 2, 1, 5, 5, 2, 1, 0, 7, 9, 6, 6, 7, 9, 6, 9, 9, 6, 1, 7, 9, 9, 4, 0, 2, 8, 8, 3, 6, 1, 7, 4, 4, 2, 4, 3, 3, 8, 6, 3, 3, 8, 8, 8, 3, 2, 3, 3, 5, 4, 6, 8, 4, 7, 3, 5, 3, 1, 6, 4, 5, 8, 7, 3, 3, 7, 4, 7, 5, 7, 3, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,1
LINKS
Ovidiu Furdui, Problem 1870, Mathematics Magazine, Vol. 84, No. 2 (2011), p. 151; A double zeta sum, Solution to Problem 1870 by Joel Schlosberg, ibid., Vol. 85, No. 2 (2012), p. 156.
FORMULA
Equals A001620/2 = (1 + A147533)/4.
Equals Sum_{k,m>=1} k*(zeta(k+m)-1)/(k+m)^2 (Furdui, 2011). - Amiram Eldar, Jun 09 2022
EXAMPLE
0.288607832450766430303256045041201215521079667969961799402...
MAPLE
evalf(gamma/2) ;
MATHEMATICA
RealDigits[EulerGamma/2 , 10, 100][[1]] (* G. C. Greubel, Aug 31 2018 *)
PROG
(PARI) default(realprecision, 100); Euler/2 \\ G. C. Greubel, Aug 31 2018
(Magma) R:= RealField(100); EulerGamma(R)/2; // G. C. Greubel, Aug 31 2018
CROSSREFS
Sequence in context: A359699 A131920 A180308 * A197139 A198367 A021780
KEYWORD
cons,nonn
AUTHOR
R. J. Mathar, Jan 26 2009
STATUS
approved

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Last modified June 23 20:00 EDT 2024. Contains 373653 sequences. (Running on oeis4.)