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A042291 Denominators of continued fraction convergents to sqrt(671). 2
1, 1, 10, 21, 31, 52, 83, 218, 2045, 2263, 115195, 117458, 1172317, 2462092, 3634409, 6096501, 9730910, 25558321, 239755799, 265314120, 13505461799, 13770775919, 137442445070, 288655666059, 426098111129, 714753777188, 1140851888317, 2996457553822 (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, 0, 0, 0, 0, 117240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
FORMULA
G.f.: -(x^18 -x^17 +10*x^16 -21*x^15 +31*x^14 -52*x^13 +83*x^12 -218*x^11 +2045*x^10 -2263*x^9 -2045*x^8 -218*x^7 -83*x^6 -52*x^5 -31*x^4 -21*x^3 -10*x^2 -x -1) / (x^20 -117240*x^10 +1). - Colin Barker, Dec 07 2013
MATHEMATICA
Denominator[Convergents[Sqrt[671], 30]] (* Vincenzo Librandi, Jan 19 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 117240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 10, 21, 31, 52, 83, 218, 2045, 2263, 115195, 117458, 1172317, 2462092, 3634409, 6096501, 9730910, 25558321, 239755799, 265314120}, 30] (* Harvey P. Dale, May 31 2023 *)
CROSSREFS
Sequence in context: A256825 A190326 A185691 * A041194 A042871 A041192
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 07 2013
STATUS
approved

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Last modified July 19 12:04 EDT 2024. Contains 374394 sequences. (Running on oeis4.)