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A042668 Numerators of continued fraction convergents to sqrt(864). 2


%S 29,59,88,147,823,970,13433,14403,85448,99851,185299,470449,27471341,

%T 55413131,82884472,138297603,774372487,912670090,12639083657,

%U 13551753747,80397852392,93949606139,174347458531,442644523201,25847729804189,52138104131579

%N Numerators of continued fraction convergents to sqrt(864).

%H Vincenzo Librandi, <a href="/A042668/b042668.txt">Table of n, a(n) for n = 0..200</a>

%H <a href="/index/Rec#order_24">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,940898,0,0,0,0,0,0,0,0,0,0,0,-1).

%F G.f.: -(x^23 -29*x^22 +59*x^21 -88*x^20 +147*x^19 -823*x^18 +970*x^17 -13433*x^16 +14403*x^15 -85448*x^14 +99851*x^13 -185299*x^12 -470449*x^11 -185299*x^10 -99851*x^9 -85448*x^8 -14403*x^7 -13433*x^6 -970*x^5 -823*x^4 -147*x^3 -88*x^2 -59*x -29) / ((x^4 -6*x^3 +13*x^2 -6*x +1)*(x^4 -10*x^2 +1)*(x^4 +10*x^2 +1)*(x^4 +6*x^3 +13*x^2 +6*x +1)*(x^8 +10*x^6 +99*x^4 +10*x^2 +1)). - _Colin Barker_, Dec 20 2013

%F a(n) = 940898*a(n-12)-a(n-24). - _Wesley Ivan Hurt_, Apr 26 2021

%t Numerator[Convergents[Sqrt[864], 30]] (* _Vincenzo Librandi_, Nov 30 2013 *)

%Y Cf. A042669, A040834.

%K nonn,frac,easy,changed

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 20 2013

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Last modified May 7 02:20 EDT 2021. Contains 343636 sequences. (Running on oeis4.)