A042774 Numerators of continued fraction convergents to sqrt(918).

30, 91, 212, 303, 2030, 61203, 369248, 430451, 1230150, 4120901, 248484210, 749573531, 1747631272, 2497204803, 16730860090, 504423007503, 3043268905108, 3547691912611, 10138652730330, 33963650103601, 2047957658946390, 6177836626942771, 14403630912831932

Offset

0,1

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^19 -30*x^18 +91*x^17 -212*x^16 +303*x^15 -2030*x^14 +61203*x^13 -369248*x^12 +430451*x^11 -1230150*x^10 -4120901*x^9 -1230150*x^8 -430451*x^7 -369248*x^6 -61203*x^5 -2030*x^4 -303*x^3 -212*x^2 -91*x -30) / (x^20 -8241802*x^10 +1). - Colin Barker, Dec 23 2013

Mathematica

Numerator[Convergents[Sqrt[918], 30]] (* Vincenzo Librandi, Dec 04 2013 *)

Crossrefs

Cf. A042775, A040887.

Sequence in context: A042772 A042770 A306121 * A042776 A042778 A031212

Adjacent sequences: A042771 A042772 A042773 * A042775 A042776 A042777

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 23 2013

Status

approved