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A042156 Numerators of continued fraction convergents to sqrt(603). 2
24, 25, 49, 172, 221, 5255, 5476, 21683, 27159, 48842, 2371575, 2420417, 4791992, 16796393, 21588385, 513329248, 534917633, 2118082147, 2652999780, 4771081927, 231664932276, 236436014203, 468100946479, 1640738853640, 2108839800119, 50144054256377 (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, 0, 0, 0, 0, 97684, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^19 -24*x^18 +25*x^17 -49*x^16 +172*x^15 -221*x^14 +5255*x^13 -5476*x^12 +21683*x^11 -27159*x^10 -48842*x^9 -27159*x^8 -21683*x^7 -5476*x^6 -5255*x^5 -221*x^4 -172*x^3 -49*x^2 -25*x -24) / (x^20 -97684*x^10 +1). - Colin Barker, Nov 19 2013

MATHEMATICA

Numerator[Convergents[Sqrt[603], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

CROSSREFS

Cf. A042157, A040578.

Sequence in context: A042166 A042158 A042160 * A042154 A042152 A042172

Adjacent sequences:  A042153 A042154 A042155 * A042157 A042158 A042159

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 19 2013

STATUS

approved

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Last modified October 4 17:49 EDT 2022. Contains 357239 sequences. (Running on oeis4.)