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A041666 Numerators of continued fraction convergents to sqrt(352). 2

%I #17 Apr 14 2023 17:37:16

%S 18,19,75,394,3621,18499,59118,77617,2853330,2930947,11646171,

%T 61161802,562102389,2871673747,9177123630,12048797377,442933829202,

%U 454982626579,1807881708939,9494391171274,87257402250405,445781402423299,1424601609520302,1870383011943601

%N Numerators of continued fraction convergents to sqrt(352).

%H Vincenzo Librandi, <a href="/A041666/b041666.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 (0,0,0,0,0,0,0,155234,0,0,0,0,0,0,0,-1).

%F a(n) = 155234*a(n-8) - a(n-16) for n>15. [_Bruno Berselli_, Nov 06 2013]

%F G.f.: -(x^15 -18*x^14 +19*x^13 -75*x^12 +394*x^11 -3621*x^10 +18499*x^9 -59118*x^8 -77617*x^7 -59118*x^6 -18499*x^5 -3621*x^4 -394*x^3 -75*x^2 -19*x -18) / ((x^8 -394*x^4 +1)*(x^8 +394*x^4 +1)). - _Colin Barker_, Dec 28 2013

%t Numerator[Convergents[Sqrt[352], 30]] (* _Vincenzo Librandi_, Nov 06 2013 *)

%t LinearRecurrence[{0,0,0,0,0,0,0,155234,0,0,0,0,0,0,0,-1},{18,19,75,394,3621,18499,59118,77617,2853330,2930947,11646171,61161802,562102389,2871673747,9177123630,12048797377},30] (* _Harvey P. Dale_, Apr 14 2023 *)

%Y Cf. A041667, A040333.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 28 2013

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)