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 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)] 1
 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, 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, 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 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 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. LINKS Table of n, a(n) for n=1..105. Alessandro Languasco and Alessandro Zaccagnini, On the constant in the Mertens product for arithmetic progressions. I. Identities, Funct. Approx. Comment. Math. Volume 42, Number 1 (2010), 17-27. For more links see A340711. FORMULA Equals 25*sqrt(5)/(4*Pi^2*log((1+sqrt(5))/2)). EXAMPLE 2.942584772269271492842068894927865... MATHEMATICA RealDigits[25 Sqrt[5]/(4 Pi^2 Log[1/2 (1 + Sqrt[5])]), 10, 105] // First CROSSREFS Cf. A340711. Sequence in context: A021038 A257818 A195485 * A011067 A135008 A200014 Adjacent sequences: A336799 A336800 A336801 * A336803 A336804 A336805 KEYWORD nonn,cons AUTHOR Artur Jasinski, Jan 27 2021 EXTENSIONS Name corrected by Alessandro Languasco, Feb 18 2021 STATUS approved

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Last modified September 11 14:42 EDT 2024. Contains 375836 sequences. (Running on oeis4.)