cp's OEIS Frontend

A339925 Decimal expansion of 105*zeta(3)/Pi^4.

%I A339925 #16 Jan 25 2024 02:46:47
%S A339925 1,2,9,5,7,3,0,9,5,7,8,8,0,5,0,6,1,3,6,7,0,4,7,1,3,5,7,5,0,4,9,8,4,2,
%T A339925 2,9,1,4,5,8,5,7,2,3,3,4,5,1,1,8,7,0,4,7,7,3,5,1,0,9,0,4,5,9,2,6,7,0,
%U A339925 2,3,3,0,0,4,6,2,3,6,9,3,6,9,2,9,8,7,8,6,0,6,7,2,1,4,0,7,4,2,0,0,7,1,2,7
%N A339925 Decimal expansion of 105*zeta(3)/Pi^4.
%H A339925 H. Riesel and R. C. Vaughan, <a href="https://doi.org/10.1007/BF02384300">On sums of primes</a>, Ark. Mat., Volume 21, Number 1-2 (1983), 45-74 (p. 47).
%F A339925 Equals Product_{p>=3} 1+1/(p*(p-1)) where p are successive odd primes.
%F A339925 Equals A082695*2/3.
%F A339925 Equals Sum_{k>=1} A001615(k)/k^4. - _Amiram Eldar_, Jan 25 2024
%e A339925 1.295730957880506136704713575049842291458572334511870477351090459267...
%t A339925 RealDigits[N[105 Zeta[3]/Pi^4, 105]][[1]]
%o A339925 (PARI) prodeulerrat(1+1/(p*(p-1)),1,3) \\ _Hugo Pfoertner_, Dec 23 2020
%Y A339925 Cf. A002117, A001615, A005597, A082695.
%K A339925 nonn,cons
%O A339925 1,2
%A A339925 _Artur Jasinski_, Dec 23 2020