A358644 - OEIS

%I #9 Nov 27 2022 10:39:42

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

%T 9,2,5,2,2,4,0,4,0,1,8,1,2,5,8,3,1,2,1,0,4,7,3,0,5,0,5,3,1,4,8,7,1,1,

%U 3,1,5,9,5,9,1,2,1,5,6,6,4,5,6,7,8,2,2

%N Decimal expansion of the largest real solution of 2*x = 2 + log(4*x - 1).

%H Joerg Bruedern and Trevor D. Wooley, <a href="https://arxiv.org/abs/2211.10387">Partitio Numerorum: sums of a prime and a number of k-th powers</a>, arXiv:2211.10387 [math.NT], 2022, see p. 3.

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e 1.9619693751729398211285303448743059252240401812583121...

%t First[RealDigits[Last[x/.NSolve[2x==2+Log[4x-1],x,94]]]]

%Y Cf. A358643 (smallest).

%K nonn,cons

%O 1,2

%A _Stefano Spezia_, Nov 24 2022