A388294 - OEIS

%I #73 Jan 24 2026 16:04:17

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

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

%U 1,7,6,0,2,9,7,1,3,6,7,3,6,8,1,1,8,9,6,2,5,3,6,1,7,2,2,2,3,3,8,7,0,8,5,9,2

%N Decimal expansion of the unique positive x such that digamma(x) = 1/x.

%e 2.08907042748104151995680405675152602941165404000342...

%t RealDigits[x /. FindRoot[PolyGamma[x] == 1/x, {x, 2}, WorkingPrecision -> 120]][[1]] (* _Amiram Eldar_, Jan 19 2026 *)

%o (PARI) solve(x=2.0, 3.0, psi(x) - 1/x) \\ _Andrew Howroyd_, Jan 19 2026

%K nonn,cons

%O 1,1

%A _Sinden Miller_, Jan 19 2026