cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A371332 Decimal expansion of Sum_{k>=1} 1/(k^(1/4)*(1+k)).

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%I A371332 #7 Mar 19 2024 07:38:25
%S A371332 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 A371332 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 A371332 4,7,4,0,7,1,2,3,4,7,3,7,6,1,1,8,8,7,1,5,2,1,5
%N A371332 Decimal expansion of Sum_{k>=1} 1/(k^(1/4)*(1+k)).
%F A371332 Equals Sum_{i>=0} (-1)^i*zeta(5/4+i).
%e A371332 3.7478347438448875778880546...
%o A371332 (PARI) sumalt(i=0,(-1)^i*zeta(5/4+i)) \\ _Hugo Pfoertner_, Mar 19 2024
%Y A371332 Cf. A226317 (for k^1/2), A371331 (k^1/3), A371333 (k^1/5).
%K A371332 nonn,cons
%O A371332 1,1
%A A371332 _R. J. Mathar_, Mar 19 2024