OFFSET
1,2
LINKS
David Brink, The Spiral of Theodorus and Sums of Zeta-values at the Half-Integers, The American Mathematical Monthly, Vol. 119, No. 9 (November 2012), page 785.
Steven R. Finch, Mathematical Constants II, Encyclopedia of Mathematics and Its Applications, Cambridge University Press, Cambridge, 2018, p. 663 (constant K').
EXAMPLE
1.8265078108584785588157654061303219730994914849434906683229013637764992...
MATHEMATICA
RealDigits[ Sum[ (Zeta[k + 1/2] - 1)/(2 k + 1), {k, 0, 370}], 10, 111][[1]]
PROG
(PARI) sum(k=0, 340, (zeta(k+1/2)-1)/(2*k+1))
CROSSREFS
KEYWORD
AUTHOR
David Brink and Robert G. Wilson v, Dec 18 2013
STATUS
approved