A342203 - OEIS

A342203

Decimal expansion of solution to zeta(x) = e.

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

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..103.

EXAMPLE

zeta(1.4744642873...) = e.

MATHEMATICA

RealDigits[x /. FindRoot[Zeta[x] == E, {x, 2}, WorkingPrecision -> 105], 10, 100][[1]] (* Amiram Eldar, Mar 05 2021 *)

PROG

(PARI) solve(x=1.1, 2, zeta(x)-exp(1)) \\ Michel Marcus, Mar 05 2021

CROSSREFS