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A042031 Denominators of continued fraction convergents to sqrt(539). 2
1, 4, 5, 9, 14, 23, 37, 171, 7903, 31783, 39686, 71469, 111155, 182624, 293779, 1357740, 62749819, 252357016, 315106835, 567463851, 882570686, 1450034537, 2332605223, 10780455429, 498233554957, 2003714675257, 2501948230214, 4505662905471, 7007611135685 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^14 -4*x^13 +5*x^12 -9*x^11 +14*x^10 -23*x^9 +37*x^8 -171*x^7 -37*x^6 -23*x^5 -14*x^4 -9*x^3 -5*x^2 -4*x -1) / (x^16 -7940*x^8 +1). - Colin Barker, Nov 29 2013
a(n) = 7940*a(n-8) - a(n-16). - Wesley Ivan Hurt, Sep 05 2022
MATHEMATICA
Denominator[Convergents[Sqrt[539], 30]] (* Vincenzo Librandi, Jan 12 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 7940, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 4, 5, 9, 14, 23, 37, 171, 7903, 31783, 39686, 71469, 111155, 182624, 293779, 1357740}, 30] (* Harvey P. Dale, May 25 2015 *)
CROSSREFS
Sequence in context: A274282 A347553 A000285 * A041493 A352321 A250474
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 29 2013
STATUS
approved

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Last modified March 29 04:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)