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A133731 Decimal expansion of goat tether length to graze half a unit field. 3

%I

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

%T 1,4,9,6,8,8,2,9,2,2,6,6,4,9,2,0,9,6,5,1,1,8,2,0,6,9,5,8,8,4,8,2,0,6,

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

%N Decimal expansion of goat tether length to graze half a unit field.

%H M. Fraser, <a href="http://www.jstor.org/stable/2690163">A tale of two goats</a>, Math. Mag., 55 (1982), 221-227. Has extensive bibliography. [_N. J. A. Sloane_, Jul 12 2011]

%H Gerd Lamprecht, <a href="http://www.gerdlamprecht.de/langeZahlen/1158728473.pdf">A133731=cos(A173201/2)*2; 10000 digits</a> [Gerd Lamprecht (gerdlamprecht(AT)googlemail.com), Feb 12 2010]

%H Gerd Lamprecht, <a href="http://www.gerdlamprecht.de/Roemisch_JAVA.htm#ZZZZZ0004">Iterationsrechner mit Algorithmus</a> [Gerd Lamprecht (gerdlamprecht(AT)googlemail.com), Feb 12 2010]

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/GoatProblem.html">Goat Problem</a>

%e 1.1587284730181215178...

%e Equals cos(A173201=1.9056957293.../2)*2. - Gerd Lamprecht (gerdlamprecht(AT)googlemail.com), Feb 12 2010

%t A173201 = x /. FindRoot[(-x*Cos[x] + Sin[x] - Pi/2)/(Sin[x]*x), {x, 1}, WorkingPrecision -> 105]; RealDigits[2*Cos[A173201/2] ][[1]] (* _Jean-Fran├žois Alcover_, Oct 31 2012 *)

%K nonn,cons

%O 1,3

%A _Eric W. Weisstein_, Sep 21 2007

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Last modified October 16 21:54 EDT 2018. Contains 316275 sequences. (Running on oeis4.)