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%I #17 Sep 23 2022 22:11:39
%S 5,4,9,2,6,9,2,3,3,9,5,8,5,7,9,0,5,3,2,5,7,4,0,3,4,2,7,7,7,0,0,3,4,0,
%T 6,4,2,0,1,7,1,5,2,7,9,3,0,5,6,0,5,0,2,6,2,3,1,4,1,9,4,6,3,5,2,3,0,9,
%U 7,5,2,8,4,6,5,6,8,8,4,5,9,9,2,1,0,1,3,0,6,5,6,2,6,0,3,5,0,2,0,4,8,6,6,9
%N Decimal expansion of b = log(2*Pi) - 1 - gamma/2.
%C Arises in the Riemann zeta function's expression (Hadamard product): zeta(s) = exp(b*s)/(2*(s-1)*Gamma(s/2+1))*Product(r, (1-s/r)^exp(s/r)) where r runs through the zeros.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/HadamardProduct.html">Hadamard Product</a>
%H <a href="/index/Z#zeta_function">Index entries for zeta function</a>.
%F b = 0.54926923395857905325740342777003406420171527930560...
%t RealDigits[Log[2Pi]-1-EulerGamma/2,10,120][[1]] (* _Harvey P. Dale_, Nov 05 2011 *)
%o (PARI) log(2*Pi)-1-Euler/2 \\ _Charles R Greathouse IV_, Mar 10 2016
%K cons,nonn
%O 0,1
%A _Benoit Cloitre_, Nov 29 2002
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