A393086 Decimal expansion of x for maximum of function log(log(x))/(1+x^2).

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

Offset

1,1

Links

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

Formula

Equals solution of equation 1 + x^2 - 2*x^2*log(x)*log(log(x))=0.

Example

4.2295578271253237848...

Mathematica

RealDigits[x /. FindRoot[1 + x^2 - 2 x^2 Log[x] Log[Log[x]] == 0, {x, 4.22}, WorkingPrecision -> 110], 10, 105][[1]]

Crossrefs

Cf. A091476, A115252, A388042, A390125, A393630, A393691

Sequence in context: A079184 A095800 A055630 * A182700 A369408 A136202

Adjacent sequences: A393083 A393084 A393085 * A393087 A393088 A393089

Keyword

nonn,cons

Author

Artur Jasinski, Mar 02 2026

Status

approved