cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A201945 Decimal expansion of x>0 satisfying x*cosh(3x)=1.

This page as a plain text file.
%I A201945 #10 Feb 07 2025 16:44:07
%S A201945 4,6,5,8,8,6,3,2,5,8,0,7,4,7,9,3,4,0,1,4,6,7,7,5,0,6,8,8,4,3,6,1,2,9,
%T A201945 9,4,6,5,9,6,3,3,8,2,0,0,6,3,3,0,0,2,8,9,8,2,6,6,7,6,1,2,4,8,8,7,5,2,
%U A201945 7,3,3,7,8,0,6,2,4,2,6,6,3,0,6,3,4,4,4,0,2,0,6,7,2,9,0,0,9,9,3
%N A201945 Decimal expansion of x>0 satisfying x*cosh(3x)=1.
%C A201945 See A201939 for a guide to related sequences. The Mathematica program includes a graph.
%H A201945 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201945 0.465886325807479340146775068843612994659633...
%t A201945 u = 3; v = 1;
%t A201945 f[x_] := x*Cosh[u*x]; g[x_] := v
%t A201945 Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}]
%t A201945 r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110]
%t A201945 RealDigits[r]     (* A201945 *)
%Y A201945 Cf. A201939.
%K A201945 nonn,cons
%O A201945 0,1
%A A201945 _Clark Kimberling_, Dec 15 2011