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.

A347330 Decimal expansion of zeta(10) / zeta(5).

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%I A347330 #19 Jul 20 2025 16:11:48
%S A347330 9,6,5,3,4,6,4,9,6,0,9,1,6,3,6,0,3,6,2,1,3,7,7,2,9,6,4,2,4,3,2,2,1,2,
%T A347330 2,4,7,4,0,5,0,1,6,0,5,3,1,8,7,3,0,1,8,0,1,5,7,5,6,4,6,4,7,2,6,8,8,1,
%U A347330 8,6,5,2,4,4,3,9,9,0,6,4,8,0,5,4,8,3,8
%N A347330 Decimal expansion of zeta(10) / zeta(5).
%H A347330 Michael I. Shamos, <a href="https://citeseerx.ist.psu.edu/pdf/ae33a269baba5e8b1038e719fb3209e8a00abec5">Shamos's catalog of the real numbers</a> (2011).
%F A347330 Equals Sum_{k>=1} A008836(k) / k^5.
%F A347330 Equals Product_{p prime} 1/(1+p^(-5)). [corrected by _Amiram Eldar_, Jun 06 2023]
%F A347330 Equals 1/A157291. - _R. J. Mathar_, Jul 20 2025
%e A347330 0.96534649609163603621377296424322122474050...
%t A347330 RealDigits[Zeta[10] / Zeta[5], 10, 120][[1]] (* _Amiram Eldar_, Jun 06 2023 *)
%Y A347330 Cf. A008836, A182448, A347328, A347329, A347331.
%Y A347330 Cf. A013663, A013668.
%K A347330 nonn,cons
%O A347330 0,1
%A A347330 _Sean A. Irvine_, Aug 26 2021