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.

A202245 Decimal expansion of x>0 satisfying x*sinh(3x)=1.

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%I A202245 #6 Feb 07 2025 16:44:07
%S A202245 4,8,8,2,9,2,4,4,4,7,8,7,8,1,8,0,4,1,9,2,9,7,6,3,3,3,4,5,8,5,0,3,5,4,
%T A202245 5,9,2,0,9,8,3,1,6,4,6,0,5,6,4,9,6,7,0,2,0,1,6,4,1,5,2,1,9,0,0,4,4,6,
%U A202245 1,7,8,8,6,6,5,5,1,2,8,1,0,3,4,6,1,8,9,4,7,0,9,0,5,1,1,1,6,4,2
%N A202245 Decimal expansion of x>0 satisfying x*sinh(3x)=1.
%C A202245 See A201939 for a guide to related sequences. The Mathematica program includes a graph.
%e A202245 x=0.48829244478781804192976333458503545920...
%t A202245 u = 3; v = 1;
%t A202245 f[x_] := x*Sinh[u*x]; g[x_] := v
%t A202245 Plot[{f[x], g[x]}, {x, 0, 1}, {AxesOrigin -> {0, 0}}]
%t A202245 r = x /. FindRoot[f[x] == g[x], {x, .4, .5}, WorkingPrecision -> 110]
%t A202245 RealDigits[r]   (* A202245 *)
%Y A202245 Cf. A201946.
%K A202245 nonn,cons
%O A202245 0,1
%A A202245 _Clark Kimberling_, Dec 15 2011