A377594 - OEIS

%I #7 Nov 03 2024 05:03:01

%S 3,6,8,6,0,8,0,0,5,9,1,2,4,7,1,0,4,5,3,8,2,3,9,2,8,6,7,0,1,9,1,6,5,6,

%T 3,4,7,0,9,9,6,6,1,5,1,8,5,1,8,2,4,4,6,2,2,9,1,9,6,7,7,0,9,8,6,7,3,5,

%U 2,7,4,3,8,5,4,4,1,7,0,9,2,5,5,4,3,7,9,0,5,8,3,3,8,7,8,5,2,8,2,0

%N Decimal expansion of 1/4 - 7*zeta(3)/(4*Pi^2).

%D Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, p. 44.

%H Michael I. Shamos, <a href="http://euro.ecom.cmu.edu/people/faculty/mshamos/cat.pdf">A catalog of the real numbers</a>, (2007). See p. 69.

%F Equals Sum_{k>=1} zeta(2*k)/((2*k + 1)*(2*k + 2)*2^(2*k)) [Euler] (see Finch and Shamos).

%e 0.036860800591247104538239286701916563470996615185...

%t RealDigits[1/4-7Zeta[3]/(4Pi^2),10,100][[1]]

%Y Cf. A000302, A002117, A005408, A212002.

%K nonn,cons

%O -1,1

%A _Stefano Spezia_, Nov 02 2024