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 A076416 Decimal expansion of third solution of equation cos(x) cosh(x) = 1. 2

%I

%S 1,0,9,9,5,6,0,7,8,3,8,0,0,1,6,7,0,9,0,6,6,6,9,0,3,2,5,1,9,1,0,5,8,9,

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

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

%N Decimal expansion of third solution of equation cos(x) cosh(x) = 1.

%C This is an equation related to a beam clumped at both ends: cos(x) cosh(x) = 1. The first three solutions are: 4.73 (A076414), 7.853 (A076415) and 10.9956 (this sequence).

%H Z. Guede, I. Elishakov, <a href="http://dx.doi.org/10.1016/S0960-0779(00)00014-X">A fifth-order polynomial that serves as both buckling and...</a>, Chaos, Solitons and Fractals 12 (7) (2001) 1267-1298.

%e cos(x) cosh(x) = 1, x = 10.9956....

%t RealDigits[x/.FindRoot[Cos[x] Cosh[x]==1,{x,7 Pi/2},WorkingPrecision -> 120]][[1]] (* Jean-Francois Alcover, Mar 14 2011 *)

%o (PARI) solve(x=9,11,cos(x)*cosh(x)-1) \\ _Charles R Greathouse IV_, Mar 15, 2011

%Y Cf. A076414, A076415.

%K easy,nonn,cons

%O 2,3

%A _Zak Seidov_, Oct 10 2002

%E Offset corrected by _R. J. Mathar_, Feb 05 2009

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Last modified August 13 22:12 EDT 2020. Contains 336458 sequences. (Running on oeis4.)