A042775 Denominators of continued fraction convergents to sqrt(918).

1, 3, 7, 10, 67, 2020, 12187, 14207, 40601, 136010, 8201201, 24739613, 57680427, 82420040, 552200667, 16648440050, 100442840967, 117091281017, 334625403001, 1120967490020, 67592674804201, 203898991902623, 475390658609447, 679289650512070

Offset

0,2

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, 8241802, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -3*x^17 +7*x^16 -10*x^15 +67*x^14 -2020*x^13 +12187*x^12 -14207*x^11 +40601*x^10 -136010*x^9 -40601*x^8 -14207*x^7 -12187*x^6 -2020*x^5 -67*x^4 -10*x^3 -7*x^2 -3*x -1) / (x^20 -8241802*x^10 +1). - Colin Barker, Dec 23 2013

Mathematica

Denominator[Convergents[Sqrt[918], 30]] (* Vincenzo Librandi, Jan 29 2014 *)

Crossrefs

Cf. A042774, A040887.

Sequence in context: A042229 A042373 A265686 * A229596 A125255 A125254

Adjacent sequences: A042772 A042773 A042774 * A042776 A042777 A042778

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved