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A041710 Numerators of continued fraction convergents to sqrt(375). 2

%I

%S 19,39,58,155,213,1220,1433,4086,5519,15124,580231,1175586,1755817,

%T 4687220,6443037,36902405,43345442,123593289,166938731,457470751,

%U 17550827269,35559125289,53109952558,141779030405,194888982963,1116223945220,1311112928183

%N Numerators of continued fraction convergents to sqrt(375).

%H Vincenzo Librandi, <a href="/A041710/b041710.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, 30248, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -19*x^18 +39*x^17 -58*x^16 +155*x^15 -213*x^14 +1220*x^13 -1433*x^12 +4086*x^11 -5519*x^10 -15124*x^9 -5519*x^8 -4086*x^7 -1433*x^6 -1220*x^5 -213*x^4 -155*x^3 -58*x^2 -39*x -19) / ((x^4 -8*x^2 +1)*(x^16 +8*x^14 +63*x^12 +496*x^10 +3905*x^8 +496*x^6 +63*x^4 +8*x^2 +1)). - _Colin Barker_, Nov 11 2013

%t Numerator[Convergents[Sqrt[375], 30]] (* _Vincenzo Librandi_, Nov 07 2013 *)

%Y Cf. A041711.

%K nonn,cofr,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Nov 11 2013

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Last modified September 29 07:42 EDT 2022. Contains 357090 sequences. (Running on oeis4.)