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A042738 Numerators of continued fraction convergents to sqrt(899). 2
29, 30, 1769, 1799, 106111, 107910, 6364891, 6472801, 381787349, 388260150, 22900876049, 23289136199, 1373670775591, 1396959911790, 82397345659411, 83794305571201, 4942467068789069, 5026261374360270, 296465626781684729, 301491888156044999, 17782995139832294671 (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 (0,60,0,-1).

FORMULA

G.f.: (29 +30*x +29*x^2 -x^3)/(1 -60*x^2 +x^4). - Vincenzo Librandi, Dec 03 2013

a(n) = 60*a(n-2) - a(n-4), - Vincenzo Librandi, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[899], 30]] (* Harvey P. Dale, Oct 16 2013 *)

CoefficientList[Series[(29 + 30 x + 29 x^2 - x^3)/(1 - 60 x^2 + x^4), {x, 0, 30}], x] (* Vincenzo Librandi, Dec 03 2013 *)

PROG

(MAGMA) I:=[29, 30, 1769, 1799]; [n le 4 select I[n] else 60*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 03 2013

CROSSREFS

Cf. A042739.

Sequence in context: A041419 A042736 A042737 * A157498 A031062 A054056

Adjacent sequences:  A042735 A042736 A042737 * A042739 A042740 A042741

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Vincenzo Librandi, Dec 03 2013

STATUS

approved

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Last modified March 18 17:51 EDT 2019. Contains 321292 sequences. (Running on oeis4.)