A182546 - OEIS

%I #15 Sep 28 2021 15:31:05

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

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

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

%N Decimal expansion of | log_phi(i) |, where phi is the golden ratio and i is the imaginary unit.

%F Equals |Im(Log(i))/Log(A001622)|

%F Equals Pi/log(phi+1) = A000796/A202543. - _Gleb Koloskov_, Sep 28 2021

%e 3.26425130263649690673153367843629490781491039315880...

%t RealDigits[ Im[N[Log[I]/Log[GoldenRatio], 105]]] [[1]]

%t RealDigits[Abs[Log[GoldenRatio,I]],10,120][[1]] (* _Harvey P. Dale_, Sep 22 2018 *)

%Y Cf. A000796, A001622, A202543.

%K nonn,cons

%O 1,1

%A _Volker Werner_, May 04 2012