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 A041106 Numerators of continued fraction convergents to sqrt(61). 2

%I

%S 7,8,39,125,164,453,1070,1523,5639,24079,29718,440131,469849,2319527,

%T 7428430,9747957,26924344,63596645,90520989,335159612,1431159437,

%U 1766319049,26159626123,27925945172,137863406811,441516165605,579379572416,1600275310437

%N Numerators of continued fraction convergents to sqrt(61).

%H Vincenzo Librandi, <a href="/A041106/b041106.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 (0,0,0,0,0,0,0,0,0,0,59436,0,0,0,0,0,0,0,0,0,0,1).

%F G.f.: -(x^21 -7*x^20 +8*x^19 -39*x^18 +125*x^17 -164*x^16 +453*x^15 -1070*x^14 +1523*x^13 -5639*x^12 +24079*x^11 +29718*x^10 +24079*x^9 +5639*x^8 +1523*x^7 +1070*x^6 +453*x^5 +164*x^4 +125*x^3 +39*x^2 +8*x +7) / (x^22 +59436*x^11 -1). - _Colin Barker_, Nov 12 2013

%t Numerator[Convergents[Sqrt[61], 30]] (* _Vincenzo Librandi_, Oct 29 2013 *)

%Y Cf. A010514, A041107, A010145, A020818.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 12 2013

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Last modified October 21 16:25 EDT 2019. Contains 328302 sequences. (Running on oeis4.)