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A042404
Numerators of continued fraction convergents to sqrt(730).
3
27, 1459, 78813, 4257361, 229976307, 12422977939, 671070785013, 36250245368641, 1958184320691627, 105778203562716499, 5713981176707382573, 308660761745761375441, 16673395115447821656387, 900671996995928130820339, 48652961232895566885954693
OFFSET
0,1
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
Sequence in context: A167732 A017103 A042407 * A073224 A294964 A184689
KEYWORD
nonn,cofr,frac,easy
EXTENSIONS
a(14) from Colin Barker, Dec 11 2013
STATUS
approved