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A042714 Numerators of continued fraction convergents to sqrt(887). 2

%I #14 Mar 18 2017 17:53:56

%S 29,30,119,149,268,685,20133,40951,61084,102035,367189,469224,

%T 27582181,28051405,111736396,139787801,251524197,642836195,

%U 18893773852,38430383899,57324157751,95754541650,344587782701,440342324351,25884442595059,26324784919410

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

%H Vincenzo Librandi, <a href="/A042714/b042714.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^23 -29*x^22 +30*x^21 -119*x^20 +149*x^19 -268*x^18 +685*x^17 -20133*x^16 +40951*x^15 -61084*x^14 +102035*x^13 -367189*x^12 -469224*x^11 -367189*x^10 -102035*x^9 -61084*x^8 -40951*x^7 -20133*x^6 -685*x^5 -268*x^4 -149*x^3 -119*x^2 -30*x -29) / (x^24 -938448*x^12 +1). - _Colin Barker_, Dec 22 2013

%t Numerator[Convergents[Sqrt[887], 30]] (* _Vincenzo Librandi_, Dec 02 2013 *)

%Y Cf. A042715, A040857.

%K nonn,frac,easy

%O 0,1

%A _N. J. A. Sloane_.

%E More terms from _Colin Barker_, Dec 22 2013

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Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)