A042050 - OEIS

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A042050

Numerators of continued fraction convergents to sqrt(549).

23, 47, 164, 1523, 16917, 18440, 35357, 53797, 89154, 410413, 499567, 909980, 1409547, 2319527, 26924344, 244638623, 760840213, 1766319049, 82011516467, 165789351983, 579379572416, 5380205503727, 59761640113413

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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, 0, 0, 0, 0, 0, 0, 0, 0, 3532638098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

a(n) = 3532638098*a(n-18) - a(n-36). - Wesley Ivan Hurt, Sep 05 2022

MATHEMATICA

Numerator[Convergents[Sqrt[549], 30]] (* Vincenzo Librandi, Nov 14 2013 *)

CROSSREFS

Cf. A042051.

Sequence in context: A347008 A239563 A241207 * A139857 A139900 A065017

Adjacent sequences: A042047 A042048 A042049 * A042051 A042052 A042053

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

STATUS

approved