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A042043 Denominators of continued fraction convergents to sqrt(545). 2
1, 2, 3, 26, 29, 84, 3893, 7870, 11763, 101974, 113737, 329448, 15268345, 30866138, 46134483, 399942002, 446076485, 1292094972, 59882445197, 121056985366, 180939430563, 1568572429870, 1749511860433, 5067596150736, 234858934794289, 474785465739314 (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, 3922, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^10-2*x^9+3*x^8-26*x^7+29*x^6-84*x^5-29*x^4-26*x^3-3*x^2-2*x-1) / (x^12-3922*x^6+1). - Colin Barker, Nov 30 2013
a(n) = 3922*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 13 2014
MATHEMATICA
Denominator[Convergents[Sqrt[545], 38]] (* Vincenzo Librandi, Jan 13 2014 *)
PROG
(Magma) I:=[1, 2, 3, 26, 29, 84, 3893, 7870, 11763, 101974, 113737, 329448]; [n le 12 select I[n] else 3922*Self(n-6)-Self(n-12): n in [1..30]]; // Vincenzo Librandi, Jan 13 2014
CROSSREFS
Sequence in context: A032812 A099006 A041659 * A178196 A258766 A056722
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 30 2013
STATUS
approved

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Last modified June 13 17:32 EDT 2024. Contains 373391 sequences. (Running on oeis4.)