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A041207 Denominators of continued fraction convergents to sqrt(114). 2
1, 1, 3, 31, 65, 96, 1985, 2081, 6147, 63551, 133249, 196800, 4069249, 4266049, 12601347, 130279519, 273160385, 403439904, 8341958465, 8745398369, 25832755203, 267072950399, 559978656001, 827051606400 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,2050,0,0,0,0,0,-1).
FORMULA
a(n) = 2050*a(n-6)-a(n-12). G.f.: -(x^10-x^9+3*x^8-31*x^7+65*x^6-96*x^5-65*x^4-31*x^3-3*x^2-x-1)/(x^12-2050*x^6+1). [Colin Barker, Jul 19 2012]
MATHEMATICA
Denominator[Convergents[Sqrt[114], 30]] (* Vincenzo Librandi, Oct 24 2013 *)
CROSSREFS
Cf. A041206.
Sequence in context: A238663 A141966 A050833 * A133203 A062616 A289733
KEYWORD
nonn,cofr,frac,easy
AUTHOR
STATUS
approved

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Last modified June 15 11:51 EDT 2024. Contains 373407 sequences. (Running on oeis4.)