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A042154 Numerators of continued fraction convergents to sqrt(602). 3
24, 25, 49, 319, 368, 687, 33344, 34031, 67375, 438281, 505656, 943937, 45814632, 46758569, 92573201, 602197775, 694770976, 1296968751, 62949271024, 64246239775, 127195510799, 827419304569, 954614815368, 1782034119937, 86492252572344, 88274286692281 (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 (0,0,0,0,0,1374,0,0,0,0,0,-1).

FORMULA

G.f.: (24 +25*x +49*x^2 +319*x^3 +368*x^4 +687*x^5 +368*x^6 -319*x^7 +49*x^8 -25*x^9 +24*x^10 -x^11)/(1 -1374*x^6 +x^12). - Colin Barker, Nov 09 2013

a(n) = 1374*a(n-6) - a(n-12). - Vincenzo Librandi, Nov 18 2013

MATHEMATICA

Numerator[Convergents[Sqrt[602], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

PROG

(Magma) I:=[24, 25, 49, 319, 368, 687, 33344, 34031, 67375, 438281, 505656, 943937]; [n le 12 select I[n] else 1374*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Nov 18 2013

CROSSREFS

Cf. A042155.

Sequence in context: A042158 A042160 A042156 * A042152 A042172 A042174

Adjacent sequences:  A042151 A042152 A042153 * A042155 A042156 A042157

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified October 4 18:13 EDT 2022. Contains 357239 sequences. (Running on oeis4.)