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A042715 Denominators of continued fraction convergents to sqrt(887). 2

%I #17 Apr 11 2022 12:16:04

%S 1,1,4,5,9,23,676,1375,2051,3426,12329,15755,926119,941874,3751741,

%T 4693615,8445356,21584327,634390839,1290366005,1924756844,3215122849,

%U 11570125391,14785248240,869114523311,883899771551,3520813837964,4404713609515,7925527447479

%N Denominators of continued fraction convergents to sqrt(887).

%H Vincenzo Librandi, <a href="/A042715/b042715.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, 938448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^22 -x^21 +4*x^20 -5*x^19 +9*x^18 -23*x^17 +676*x^16 -1375*x^15 +2051*x^14 -3426*x^13 +12329*x^12 -15755*x^11 -12329*x^10 -3426*x^9 -2051*x^8 -1375*x^7 -676*x^6 -23*x^5 -9*x^4 -5*x^3 -4*x^2 -x -1) / (x^24 -938448*x^12 +1). - _Colin Barker_, Dec 22 2013

%F a(n) = 938448*a(n-12) - a(n-24). - _Wesley Ivan Hurt_, Apr 11 2022

%t Denominator[Convergents[Sqrt[887], 30]] (* _Vincenzo Librandi_, Jan 27 2014 *)

%Y Cf. A042714, A040857.

%K nonn,frac,easy

%O 0,3

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 22 2013

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Last modified July 6 19:53 EDT 2024. Contains 374058 sequences. (Running on oeis4.)