A377592 - OEIS

%I #6 Nov 03 2024 05:04:08

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

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

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

%N Decimal expansion of 9*zeta(3)/Pi^2 - 93*zeta(5)/(2*Pi^4) - log(2) + 1/4.

%D Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, 2003, Section 1.6.3, pp. 43-44.

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

%e 0.158000963625557733268629385978458549091780284796...

%t RealDigits[9Zeta[3]/Pi^2-93Zeta[5]/(2Pi^4)-Log[2]+1/4,10,100][[1]]

%Y Cf. A002117, A002162, A002388, A013663, A092425, A094642, A244009, A377588, A377589.

%K nonn,cons

%O 0,2

%A _Stefano Spezia_, Nov 02 2024