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 A042530 Numerators of continued fraction convergents to sqrt(794). 2

%I #17 Mar 18 2017 16:47:49

%S 28,141,169,310,479,789,1268,2057,3325,5382,30235,1698542,8522945,

%T 10221487,18744432,28965919,47710351,76676270,124386621,201062891,

%U 325449512,1828310451,102710834768,515382484291,618093319059,1133475803350,1751569122409,2885044925759

%N Numerators of continued fraction convergents to sqrt(794).

%H Vincenzo Librandi, <a href="/A042530/b042530.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, 60470, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

%F G.f.: -(x^21 -28*x^20 +141*x^19 -169*x^18 +310*x^17 -479*x^16 +789*x^15 -1268*x^14 +2057*x^13 -3325*x^12 +5382*x^11 +30235*x^10 +5382*x^9 +3325*x^8 +2057*x^7 +1268*x^6 +789*x^5 +479*x^4 +310*x^3 +169*x^2 +141*x +28) / (x^22 +60470*x^11 -1). - _Colin Barker_, Dec 17 2013

%t Numerator[Convergents[Sqrt[794], 30]] (* _Harvey P. Dale_, Jan 27 2012 *)

%Y Cf. A042531, A040765.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 17 2013

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Last modified September 16 15:08 EDT 2024. Contains 375976 sequences. (Running on oeis4.)