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A042603 Denominators of continued fraction convergents to sqrt(830). 2
1, 1, 5, 16, 21, 226, 247, 967, 4115, 5082, 288707, 293789, 1463863, 4685378, 6149241, 66177788, 72327029, 283158875, 1204962529, 1488121404, 84539761153, 86027882557, 428651291381, 1371981756700, 1800633048081, 19378312237510, 21178945285591, 82915148094283 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,292822,0,0,0,0,0,0,0,0,0,-1).
FORMULA
G.f.: -(x^18 -x^17 +5*x^16 -16*x^15 +21*x^14 -226*x^13 +247*x^12 -967*x^11 +4115*x^10 -5082*x^9 -4115*x^8 -967*x^7 -247*x^6 -226*x^5 -21*x^4 -16*x^3 -5*x^2 -x -1) / (x^20 -292822*x^10 +1). - Colin Barker, Dec 19 2013
MATHEMATICA
Denominator[Convergents[Sqrt[830], 30]] (* Vincenzo Librandi, Jan 25 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 0, 0, 292822, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 5, 16, 21, 226, 247, 967, 4115, 5082, 288707, 293789, 1463863, 4685378, 6149241, 66177788, 72327029, 283158875, 1204962529, 1488121404}, 30] (* Harvey P. Dale, Jul 26 2022 *)
CROSSREFS
Sequence in context: A041855 A030691 A041107 * A031120 A029450 A225539
KEYWORD
nonn,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Dec 19 2013
STATUS
approved

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Last modified February 26 15:24 EST 2024. Contains 370352 sequences. (Running on oeis4.)