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A041138 Numerators of continued fraction convergents to sqrt(78). 2

%I #12 Jun 13 2015 00:49:22

%S 8,9,44,53,892,945,4672,5617,94544,100161,495188,595349,10020772,

%T 10616121,52485256,63101377,1062107288,1125208665,5562941948,

%U 6688150613,112573351756,119261502369,589619361232,708880863601,11931713178848,12640594042449,62494089348644

%N Numerators of continued fraction convergents to sqrt(78).

%H Vincenzo Librandi, <a href="/A041138/b041138.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 (0,0,0,106,0,0,0,-1).

%F G.f.: -(x^7-8*x^6+9*x^5-44*x^4-53*x^3-44*x^2-9*x-8) / (x^8-106*x^4+1). - _Colin Barker_, Nov 05 2013

%t Numerator[Convergents[Sqrt[78], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%Y Cf. A010530, A041139.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 05 2013

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Last modified July 6 19:53 EDT 2024. Contains 374058 sequences. (Running on oeis4.)