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A042904 Numerators of continued fraction convergents to sqrt(984). 2

%I #16 Mar 18 2017 18:21:28

%S 31,63,94,251,596,4423,9442,23307,32749,88805,5538659,11166123,

%T 16704782,44575687,105856156,785568779,1676993714,4139556207,

%U 5816549921,15772656049,983721224959,1983215105967,2966936330926,7917087767819,18801111866564,139524870833767

%N Numerators of continued fraction convergents to sqrt(984).

%H Vincenzo Librandi, <a href="/A042904/b042904.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, 177610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

%F G.f.: -(x^19 -31*x^18 +63*x^17 -94*x^16 +251*x^15 -596*x^14 +4423*x^13 -9442*x^12 +23307*x^11 -32749*x^10 -88805*x^9 -32749*x^8 -23307*x^7 -9442*x^6 -4423*x^5 -596*x^4 -251*x^3 -94*x^2 -63*x -31) / (x^20 -177610*x^10 +1). - _Colin Barker_, Dec 25 2013

%t Numerator[Convergents[Sqrt[984], 30]] (* _Vincenzo Librandi_, Dec 09 2013 *)

%Y Cf. A042905, A040952.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 25 2013

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Last modified April 25 12:28 EDT 2024. Contains 371969 sequences. (Running on oeis4.)