|
%I #18 Dec 12 2023 22:03:34
%S 3,6,0,5,9,2,4,7,1,8,7,1,3,8,5,4,8,5,9,5,2,9,4,0,5,2,6,9,0,6,0,0,0,6,
%T 5,3,8,2,6,5,7,7,0,3,0,7,8,6,0,2,7,0,0,4,7,4,1,4,5,1,2,9,8,3,8,0,4,6,
%U 0,1,9,5,2,1,1,5,0,7,7,3,0,5,3,2,9,2,2,7,5,4,1,4,0,0,2,5,6,8,6,4,7
%N Decimal expansion of imaginary part of the infinite power tower of i.
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/i.html">i</a>
%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PowerTower.html">Power Tower</a>
%e 0.36059247187138548595294052690600065382657703078602700474145129838046019521150773...
%p evalf(Im(2*I*LambertW(-I*Pi/2)/Pi), 139); # _Alois P. Heinz_, Dec 12 2023
%t Prepend@@RealDigits[Im[ -ProductLog[ -Log[I]]/Log[I]], 10, 150]
%o (PARI) z=(1+I)/2;e=.1^default(realprecision);until(e>abs(z-z-=(z-I^z)/(1-I^(z+1)*Pi/2)),);digits(imag(z)\e) \\ _M. F. Hasler_, May 17 2018
%Y Cf. A049006, A077589 (real part).
%K nonn,cons,nice
%O 0,1
%A _Eric W. Weisstein_, Nov 07 2002
|
