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.

A201394 Decimal expansion of x satisfying 2*x^2 - 3 = cot(x) and 0 < x < Pi.

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%I A201394 #12 Jan 30 2025 16:02:29
%S A201394 1,2,8,3,6,1,6,7,2,7,0,5,9,4,7,4,2,0,9,4,3,7,8,8,8,5,9,7,4,7,7,2,7,8,
%T A201394 7,0,3,8,8,5,5,9,0,3,7,2,0,6,9,2,8,1,0,8,8,9,9,6,0,1,8,7,7,0,6,2,7,3,
%U A201394 3,5,8,4,9,4,5,5,8,9,3,0,9,0,1,1,8,6,2,3,2,5,7,4,7,3,2,0,4,0,4
%N A201394 Decimal expansion of x satisfying 2*x^2 - 3 = cot(x) and 0 < x < Pi.
%C A201394 See A201280 for a guide to related sequences. The Mathematica program includes a graph.
%H A201394 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A201394 1.28361672705947420943788859747727870...
%t A201394 a = 2; c = -3;
%t A201394 f[x_] := a*x^2 + c; g[x_] := Cot[x]
%t A201394 Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
%t A201394 r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t A201394 RealDigits[r]    (* A201394 *)
%Y A201394 Cf. A201280.
%K A201394 nonn,cons
%O A201394 1,2
%A A201394 _Clark Kimberling_, Nov 30 2011
%E A201394 a(92) onwards corrected by _Georg Fischer_, Aug 03 2021