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.

A336802 Decimal expansion of the constant Pi(5, 1) [1/(residue at 1) of the Dedekind zeta function for the cyclotomic field Q(zeta_5)].

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%I A336802 #25 Jul 23 2025 16:02:19
%S A336802 2,9,4,2,5,8,4,7,7,2,2,6,9,2,7,1,4,9,2,8,4,2,0,6,8,8,9,4,9,2,7,8,6,5,
%T A336802 1,3,1,8,5,5,6,3,5,9,6,2,6,3,5,7,6,7,0,7,4,5,4,2,7,9,3,7,7,4,4,1,3,6,
%U A336802 5,4,7,9,4,3,1,8,1,6,6,5,1,4,3,4,1,9,1,4,3,1,7,1,1,7,3,5,8,6,3,2,3,1,9,8,8
%N A336802 Decimal expansion of the constant Pi(5, 1) [1/(residue at 1) of the Dedekind zeta function for the cyclotomic field Q(zeta_5)].
%C A336802 For general definition of constants Pi(q,a) see Alessandro Languasco and Alessandro Zaccagnini 2010 p. 19 eq (4), for this particular case see p. 25.
%H A336802 Alessandro Languasco and Alessandro Zaccagnini, <a href="https://projecteuclid.org/euclid.facm/1269437065">On the constant in the Mertens product for arithmetic progressions. I. Identities</a>, Funct. Approx. Comment. Math. Volume 42, Number 1 (2010), 17-27.
%H A336802 For more links see A340711.
%F A336802 Equals 25*sqrt(5)/(4*Pi^2*log((1+sqrt(5))/2)).
%e A336802 2.942584772269271492842068894927865...
%t A336802 RealDigits[25 Sqrt[5]/(4 Pi^2 Log[1/2 (1 + Sqrt[5])]), 10, 105] // First
%Y A336802 Cf. A340711.
%K A336802 nonn,cons
%O A336802 1,1
%A A336802 _Artur Jasinski_, Jan 27 2021
%E A336802 Name corrected by _Alessandro Languasco_, Feb 18 2021