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A040289 Continued fraction for sqrt(307). 0

%I

%S 17,1,1,11,5,1,3,17,3,1,5,11,1,1,34,1,1,11,5,1,3,17,3,1,5,11,1,1,34,1,

%T 1,11,5,1,3,17,3,1,5,11,1,1,34,1,1,11,5,1,3,17,3,1,5,11,1,1,34,1,1,11,

%U 5,1,3,17,3,1,5,11,1,1,34,1,1,11,5,1,3,17,3,1,5,11

%N Continued fraction for sqrt(307).

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F a(n)=(1/1274)*{-2908*(n mod 14)+95*[(n+1) mod 14]+1005*[(n+2) mod 14]-451*[(n+3) mod 14]-269*[(n+4) mod 14]+277*[(n+5) mod 14]+1369*[(n+6) mod 14]-1179*[(n+7) mod 14]-87*[(n+8) mod 14]+459*[(n+9) mod 14]+641*[(n+10) mod 14]-815*[(n+11) mod 14]+95*[(n+12) mod 14]+3098*[(n+13) mod 14]}-17*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Apr 27 2009]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(307)),confrac);

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified March 20 23:22 EDT 2019. Contains 321354 sequences. (Running on oeis4.)