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A042614 Numerators of continued fraction convergents to sqrt(836). 2

%I

%S 28,29,318,347,665,1677,2342,4019,42532,46551,2649388,2695939,

%T 29608778,32304717,61913495,156131707,218045202,374176909,3959814292,

%U 4333991201,246663321548,250997312749,2756636449038,3007633761787,5764270210825,14536174183437

%N Numerators of continued fraction convergents to sqrt(836).

%H Vincenzo Librandi, <a href="/A042614/b042614.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 93102, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -28*x^18 +29*x^17 -318*x^16 +347*x^15 -665*x^14 +1677*x^13 -2342*x^12 +4019*x^11 -42532*x^10 -46551*x^9 -42532*x^8 -4019*x^7 -2342*x^6 -1677*x^5 -665*x^4 -347*x^3 -318*x^2 -29*x -28) / (x^20 -93102*x^10 +1). - _Colin Barker_, Dec 20 2013

%t Numerator[Convergents[Sqrt[836], 30]] (* _Vincenzo Librandi_, Nov 29 2013 *)

%Y Cf. A042615, A040807.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013

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Last modified January 25 16:42 EST 2020. Contains 331245 sequences. (Running on oeis4.)