A042156 Numerators of continued fraction convergents to sqrt(603).

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

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

a(n) = 97684*a(n-10) - a(n-20). - Wesley Ivan Hurt, Apr 25 2023

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