A042603 Denominators of continued fraction convergents to sqrt(830).

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

Offset

0,3

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

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

Cf. A042602, A040801.

Sequence in context: A041855 A030691 A041107 * A031120 A029450 A225539

Adjacent sequences: A042600 A042601 A042602 * A042604 A042605 A042606

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 19 2013

Status

approved