A096152 Decimal expansion of positive real number x such that Dedekind eta(sqrt(-1)*x) = x.

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, 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, 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

Offset

0,1

Comments

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

Links

Table of n, a(n) for n=0..104.

Eric Weisstein's World of Mathematics, Dedekind Eta Function.

Example

0.804825759659640336888518842279322878351004540637795530171738009258819138...

Mathematica

RealDigits[x /. FindRoot[DedekindEta[x*I] - x, {x, 1}, WorkingPrecision -> 120]][[1]] (* Amiram Eldar, Apr 12 2026 *)

Prog

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

Crossrefs

Cf. A097078, A097079.

Sequence in context: A188935 A394602 A155528 * A394496 A393355 A021558

Adjacent sequences: A096149 A096150 A096151 * A096153 A096154 A096155

Keyword

cons,nonn

Author

Rick L. Shepherd, Jul 24 2004

Status

approved