A042150 Numerators of continued fraction convergents to sqrt(600).

24, 49, 2376, 4801, 232824, 470449, 22814376, 46099201, 2235576024, 4517251249, 219063635976, 442644523201, 21466000749624, 43374646022449, 2103449009827176, 4250272665676801, 206116536962313624, 416483346590304049

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,98,0,-1).

Formula

G.f.: (1 + x)*(24 + 25*x - x^2)/((1 - 10*x + x^2)*(1 + 10*x + x^2)). - Vincenzo Librandi, Nov 18 2013

a(n) = 98*a(n-2) - a(n-4). - Vincenzo Librandi, Nov 18 2013

Mathematica

Numerator[Convergents[Sqrt[600], 30]] (* or *) CoefficientList[Series[(24 + 49 x + 24 x^2 - x^3)/(1 - 98 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 18 2013 *)

Prog

(Magma) I:=[24, 49, 2376, 4801]; [n le 4 select I[n] else 98*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Nov 18 2013

Crossrefs

Cf. A042151.

Sequence in context: A042144 A042146 A042148 * A087355 A132765 A274898

Adjacent sequences: A042147 A042148 A042149 * A042151 A042152 A042153

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Status

approved