A042809 Denominators of continued fraction convergents to sqrt(935).

1, 1, 2, 5, 7, 19, 26, 45, 2726, 2771, 5497, 13765, 19262, 52289, 71551, 123840, 7501951, 7625791, 15127742, 37881275, 53009017, 143899309, 196908326, 340807635, 20645366426, 20986174061, 41631540487, 104249255035, 145880795522, 396010846079

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, 2752, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +2*x^12 -5*x^11 +7*x^10 -19*x^9 +26*x^8 -45*x^7 -26*x^6 -19*x^5 -7*x^4 -5*x^3 -2*x^2 -x -1) / (x^16 -2752*x^8 +1). - Colin Barker, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[935], 30]] (* Vincenzo Librandi, Jan 30 2014 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 0, 2752, 0, 0, 0, 0, 0, 0, 0, -1}, {1, 1, 2, 5, 7, 19, 26, 45, 2726, 2771, 5497, 13765, 19262, 52289, 71551, 123840}, 30] (* Harvey P. Dale, Mar 20 2023 *)

Crossrefs

Cf. A042808, A040904.

Sequence in context: A045358 A128005 A045359 * A002531 A108413 A042449

Adjacent sequences: A042806 A042807 A042808 * A042810 A042811 A042812

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved