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Decimal expansion of the logarithm of Pi to base 2.
3

%I #41 Sep 08 2022 08:46:03

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

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

%U 0,2,9,6,3,5,8,4,5,4,1,4,3,8,9,6,0,2,6

%N Decimal expansion of the logarithm of Pi to base 2.

%D Jörg Arndt and Christoph Haenel, Pi Unleashed, New York: Springer (2001), p. 239.

%H G. C. Greubel, <a href="/A216582/b216582.txt">Table of n, a(n) for n = 1..10000</a>

%F Log_2(Pi) = log(Pi) / log(2) = A053510 / A002162.

%F Equals (A061444 / A002162) - 1 = (A094642 / A002162) + 1. - _John W. Nicholson_, Mar 12 2019

%e 1.651496129472318798...

%p evalf(log[2](Pi)) ; # _R. J. Mathar_, Sep 11 2012

%t RealDigits[Log[2, Pi], 10, 105][[1]]

%o (Sage) log(pi,2).n(digits=100) # _Jani Melik_, Oct 05 2012

%o (PARI) log(Pi)/log(2) \\ _Michel Marcus_, Mar 05 2019

%o (Magma) SetDefaultRealField(RealField(100)); R:= RealField(); Log(Pi(R))/Log(2); // _G. C. Greubel_, Apr 08 2019

%Y Cf. A002162, A020857, A053510, A053511, A061444, A094642.

%K nonn,cons,easy

%O 1,2

%A _Alonso del Arte_, Sep 09 2012