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A041203 Denominators of continued fraction convergents to sqrt(112). 3

%I #13 Jun 13 2015 00:49:22

%S 1,1,2,5,7,12,247,259,506,1271,1777,3048,62737,65785,128522,322829,

%T 451351,774180,15934951,16709131,32644082,81997295,114641377,

%U 196638672,4047414817,4244053489,8291468306,20826990101

%N Denominators of continued fraction convergents to sqrt(112).

%H Vincenzo Librandi, <a href="/A041203/b041203.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,254,0,0,0,0,0,-1).

%F a(n) = 254*a(n-6)-a(n-12). G.f.: -(x^4-x^3+2*x^2+x+1)*(x^6-6*x^3-1)/((x^6-16*x^3+1)*(x^6+16*x^3+1)). [_Colin Barker_, Jul 19 2012]

%t Denominator[Convergents[Sqrt[112], 30]] (* _Vincenzo Librandi_, Oct 24 2013 *)

%Y Cf. A041202.

%K nonn,cofr,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

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Last modified April 19 23:40 EDT 2024. Contains 371798 sequences. (Running on oeis4.)