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 A041434 Numerators of continued fraction convergents to sqrt(233). 2

%I #14 Mar 18 2017 12:27:26

%S 15,46,61,229,290,519,809,1328,4793,6121,23156,700801,2125559,2826360,

%T 10604639,13430999,24035638,37466637,61502275,221973462,283475737,

%U 1072400673,32455495927,98438888454,130894384381,491122041597,622016425978,1113138467575

%N Numerators of continued fraction convergents to sqrt(233).

%H Vincenzo Librandi, <a href="/A041434/b041434.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^21 -15*x^20 +46*x^19 -61*x^18 +229*x^17 -290*x^16 +519*x^15 -809*x^14 +1328*x^13 -4793*x^12 +6121*x^11 +23156*x^10 +6121*x^9 +4793*x^8 +1328*x^7 +809*x^6 +519*x^5 +290*x^4 +229*x^3 +61*x^2 +46*x +15) / (x^22 +46312*x^11 -1). - _Colin Barker_, Nov 17 2013

%t Numerator[Convergents[Sqrt[233], 30]] (* _Vincenzo Librandi_, Nov 01 2013 *)

%Y Cf. A041435, A040217.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 17 2013

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Last modified August 14 03:23 EDT 2024. Contains 375146 sequences. (Running on oeis4.)