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A041439 Denominators of continued fraction convergents to sqrt(235). 2
1, 3, 91, 276, 8371, 25389, 770041, 2335512, 70835401, 214841715, 6516086851, 19763102268, 599409154891, 1817990566941, 55139126163121, 167235369056304, 5072200197852241, 15383835962613027, 466587279076243051, 1415145673191342180, 42920957474816508451 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
G.f.: -(x^2-3*x-1) / (x^4-92*x^2+1). - Colin Barker, Nov 17 2013
a(n) = 92*a(n-2) - a(n-4). - Vincenzo Librandi, Dec 17 2013
MATHEMATICA
Denominator[Convergents[Sqrt[235], 30]] (* Vincenzo Librandi, Dec 17 2013 *)
LinearRecurrence[{0, 92, 0, -1}, {1, 3, 91, 276}, 30] (* Harvey P. Dale, May 05 2018 *)
PROG
(Magma) I:=[1, 3, 91, 276]; [n le 4 select I[n] else 92*Self(n-2)-Self(n-4): n in [1..30]]; // Vincenzo Librandi, Dec 17 2013
CROSSREFS
Sequence in context: A115704 A066751 A115886 * A366219 A300419 A156754
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 17 2013
STATUS
approved

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Last modified June 16 15:45 EDT 2024. Contains 373432 sequences. (Running on oeis4.)