A096152 - OEIS

%I #3 Feb 16 2025 08:32:53

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

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

%U 9,1,3,8,1,0,0,3,4,6,5,5,6,7,1,4,3,3,7,8,9,5,6,0,3,4,1,3,4,3,9,5,3,9,7,1,0

%N Decimal expansion of positive real number x such that Dedekind eta(sqrt(-1)*x) = x.

%C See the first graph on the linked World of Mathematics page.

%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DedekindEtaFunction.html">Dedekind Eta Function</a>

%e 0.804825759659640336888518842279322878351004540637795530171738009258819138...

%o (PARI) \p 200 solve(x=.5,1,real(eta(x*I,1))-x)

%Y Cf. A097078, A097079.

%K cons,nonn,changed

%O 0,1

%A _Rick L. Shepherd_, Jul 24 2004