A042404 Numerators of continued fraction convergents to sqrt(730).

27, 1459, 78813, 4257361, 229976307, 12422977939, 671070785013, 36250245368641, 1958184320691627, 105778203562716499, 5713981176707382573, 308660761745761375441, 16673395115447821656387, 900671996995928130820339, 48652961232895566885954693

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Tanya Khovanova, Recursive Sequences

Index entries for linear recurrences with constant coefficients, signature (54, 1).

Formula

a(n)=54*a(n-1)+a(n-2), n>1; a(0)=27, a(1)=1459. G.f.: (27+x)/(1-54*x-x^2). - Philippe Deléham, Nov 23 2008

Mathematica

Numerator[Convergents[Sqrt[730], 30]] (* Vincenzo Librandi, Nov 23 2013 *)
LinearRecurrence[{54, 1}, {27, 1459}, 20] (* Harvey P. Dale, Nov 29 2020 *)

Crossrefs

Cf. A042405, A040702.

Sequence in context: A167732 A017103 A042407 * A073224 A294964 A184689

Adjacent sequences: A042401 A042402 A042403 * A042405 A042406 A042407

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

a(14) from Colin Barker, Dec 11 2013

Status

approved