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.

A201403 Decimal expansion of x satisfying x^2 + 8 = sec(x) and 0 < x < Pi.

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%I A201403 #12 Jan 30 2025 15:34:41
%S A201403 1,4,7,2,2,8,5,6,9,0,4,6,1,3,4,7,6,6,2,3,7,1,4,6,4,5,4,7,8,2,4,0,4,0,
%T A201403 1,9,5,4,5,3,2,9,4,9,3,6,6,0,9,0,1,6,2,8,3,7,4,5,4,0,1,1,7,2,4,5,1,0,
%U A201403 4,8,4,0,8,2,2,0,9,8,2,4,3,6,7,0,1,3,8,9,2,1,7,7,2,5,2,3,8,0,5,5,7
%N A201403 Decimal expansion of x satisfying x^2 + 8 = sec(x) and 0 < x < Pi.
%C A201403 See A201397 for a guide to related sequences. The Mathematica program includes a graph.
%H A201403 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201403 1.472285690461347662371464547824040195...
%t A201403 a = 1; c = 8;
%t A201403 f[x_] := a*x^2 + c; g[x_] := Sec[x]
%t A201403 Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
%t A201403 r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t A201403 RealDigits[r]     (* A201403 *)
%Y A201403 Cf. A201397.
%K A201403 nonn,cons
%O A201403 1,2
%A A201403 _Clark Kimberling_, Dec 01 2011