Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #7 Mar 19 2024 07:38:25
%S 3,7,4,7,8,3,4,7,4,3,8,4,4,8,8,7,5,7,7,8,8,8,0,5,4,6,3,5,8,9,7,6,9,3,
%T 7,6,6,7,1,1,4,8,7,3,3,2,7,7,7,3,0,0,8,8,7,7,9,4,5,2,9,5,6,9,2,5,5,5,
%U 4,7,4,0,7,1,2,3,4,7,3,7,6,1,1,8,8,7,1,5,2,1,5
%N Decimal expansion of Sum_{k>=1} 1/(k^(1/4)*(1+k)).
%F Equals Sum_{i>=0} (-1)^i*zeta(5/4+i).
%e 3.7478347438448875778880546...
%o (PARI) sumalt(i=0,(-1)^i*zeta(5/4+i)) \\ _Hugo Pfoertner_, Mar 19 2024
%Y Cf. A226317 (for k^1/2), A371331 (k^1/3), A371333 (k^1/5).
%K nonn,cons
%O 1,1
%A _R. J. Mathar_, Mar 19 2024