A371331 - OEIS

%I #10 Jun 09 2024 23:57:57

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

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

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

%N Decimal expansion of Sum_{k>=1} 1/(k^(1/3)*(1+k)).

%F Equals Sum_{i>=0} (-1)^i*zeta(4/3+i).

%e 2.790018293097153329933562762205...

%o (PARI) sumalt(i=0,(-1)^i*zeta(4/3+i)) \\ _Hugo Pfoertner_, Mar 19 2024

%Y Cf. A226317 (for k^1/2), A371332 (k^1/4), A371333 (k^1/5).

%K nonn,cons

%O 1,1

%A _R. J. Mathar_, Mar 19 2024