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A042150 Numerators of continued fraction convergents to sqrt(600). 2
24, 49, 2376, 4801, 232824, 470449, 22814376, 46099201, 2235576024, 4517251249, 219063635976, 442644523201, 21466000749624, 43374646022449, 2103449009827176, 4250272665676801, 206116536962313624, 416483346590304049 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 6 11:37 EDT 2022. Contains 355110 sequences. (Running on oeis4.)