A388294 Decimal expansion of the unique positive x such that digamma(x) = 1/x.

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, 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, 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

Offset

1,1

Links

Table of n, a(n) for n=1..105.

Example

2.08907042748104151995680405675152602941165404000342...

Mathematica

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

Prog

(PARI) solve(x=2.0, 3.0, psi(x) - 1/x) \\ Andrew Howroyd, Jan 19 2026

Crossrefs

Sequence in context: A287542 A288197 A181592 * A332616 A388115 A097348

Adjacent sequences: A388291 A388292 A388293 * A388295 A388296 A388297

Keyword

nonn,cons

Author

Sinden Miller, Jan 19 2026

Status

approved