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A042362 Numerators of continued fraction convergents to sqrt(708). 2

%I #12 Jun 13 2015 00:49:45

%S 26,27,53,80,133,612,2581,10936,13517,24453,37970,62423,3283966,

%T 3346389,6630355,9976744,16607099,76405140,322227659,1365315776,

%U 1687543435,3052859211,4740402646,7793261857,409990019210,417783281067,827773300277,1245556581344

%N Numerators of continued fraction convergents to sqrt(708).

%H Vincenzo Librandi, <a href="/A042362/b042362.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 (0,0,0,0,0,0,0,0,0,0,0,124846,0,0,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^23 -26*x^22 +27*x^21 -53*x^20 +80*x^19 -133*x^18 +612*x^17 -2581*x^16 +10936*x^15 -13517*x^14 +24453*x^13 -37970*x^12 -62423*x^11 -37970*x^10 -24453*x^9 -13517*x^8 -10936*x^7 -2581*x^6 -612*x^5 -133*x^4 -80*x^3 -53*x^2 -27*x -26) / (x^24 -124846*x^12 +1). - _Colin Barker_, Dec 09 2013

%t Numerator[Convergents[Sqrt[708], 30]] (* _Vincenzo Librandi_, Nov 22 2013 *)

%Y Cf. A042363, A040681.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 09 2013

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Last modified August 31 22:14 EDT 2024. Contains 375574 sequences. (Running on oeis4.)