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A042131 Denominators of continued fraction convergents to sqrt(590). 2
1, 3, 7, 31, 69, 238, 11493, 34717, 80927, 358425, 797777, 2751756, 132882065, 401397951, 935677967, 4144109819, 9223897605, 31815802634, 1536382424037, 4640963074745, 10818308573527, 47914197368853, 106646703311233, 367854307302552, 17763653453833729 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,11562,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^10-3*x^9+7*x^8-31*x^7+69*x^6-238*x^5-69*x^4-31*x^3-7*x^2-3*x-1) / (x^12-11562*x^6+1). - Colin Barker, Dec 02 2013
a(n) = 11562*a(n-6) - a(n-12) for n>11. - Vincenzo Librandi, Jan 15 2014
MATHEMATICA
Denominator[Convergents[Sqrt[590], 30]] (* Vincenzo Librandi, Jan 15 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 11562, 0, 0, 0, 0, 0, -1}, {1, 3, 7, 31, 69, 238, 11493, 34717, 80927, 358425, 797777, 2751756}, 30] (* Harvey P. Dale, May 15 2022 *)
CROSSREFS
Sequence in context: A080168 A183075 A292890 * A109140 A088193 A091383
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 02 2013
STATUS
approved

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Last modified May 27 03:56 EDT 2024. Contains 372847 sequences. (Running on oeis4.)