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 A272030 Decimal expansion of C = log(2*Pi) + B_3 (where B_3 is A083343), one of Euler totient constants. 21

%I

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

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

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

%N Decimal expansion of C = log(2*Pi) + B_3 (where B_3 is A083343), one of Euler totient constants.

%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 2.7 Euler totient constants, p. 117.

%F C = log(2*Pi) + EulerGamma - Sum_{n >= 2} P'(n), where P'(n) is the prime zeta P function derivative.

%e 3.17045934214256636532648824888226302856125443631798948742143398...

%t digits = 98; B3 = EulerGamma - NSum[PrimeZetaP'[n], {n, 2, Infinity}, WorkingPrecision -> 2 digits, NSumTerms -> 200]; RealDigits[Log[2 Pi] + B3, 10, digits][[1]]

%Y Cf. A001620, A005596, A065484, A065485, A080130, A082695, A082695, A083343.

%K nonn,cons

%O 1,1

%A _Jean-François Alcover_, Apr 25 2016

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Last modified August 21 22:32 EDT 2019. Contains 326169 sequences. (Running on oeis4.)