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A040952 Continued fraction for sqrt(984). 2


%S 31,2,1,2,2,7,2,2,1,2,62,2,1,2,2,7,2,2,1,2,62,2,1,2,2,7,2,2,1,2,62,2,

%T 1,2,2,7,2,2,1,2,62,2,1,2,2,7,2,2,1,2,62,2,1,2,2,7,2,2,1,2,62,2,1,2,2,

%U 7,2,2,1,2,62,2,1,2,2,7,2,2,1,2,62,2,1,2,2,7,2,2,1,2

%N Continued fraction for sqrt(984).

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

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

%F a(n)=(1/450)*{-2617*(n mod 10)+38*[(n+1) mod 10]+128*[(n+2) mod 10]+83*[(n+3) mod 10]+308*[(n+4) mod 10]-142*[(n+5) mod 10]+83*[(n+6) mod 10]+38*[(n+7) mod 10]+128*[(n+8) mod 10]+2783*[(n+9) mod 10]}-31*[C(2*n,n) mod 2], with n>=0 [From _Paolo P. Lava_, Jun 03 2009]

%F G.f.: -(31*x^10+2*x^9+x^8+2*x^7+2*x^6+7*x^5+2*x^4+2*x^3+x^2+2*x+31)/((x-1)*(x+1)*(x^4-x^3+x^2-x+1)*(x^4+x^3+x^2+x+1)). [_Colin Barker_, Aug 11 2012]

%p with(numtheory): Digits := 300: convert(evalf(sqrt(984)),confrac);

%K nonn,cofr,easy

%O 0,1

%A _N. J. A. Sloane_.

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Last modified June 23 21:09 EDT 2021. Contains 345402 sequences. (Running on oeis4.)