A042550 Numerators of continued fraction convergents to sqrt(804).

28, 57, 85, 397, 879, 16219, 33317, 149487, 182804, 515095, 29028124, 58571343, 87599467, 408969211, 905537889, 16708651213, 34322840315, 154000012473, 188322852788, 530645718049, 29904483063532, 60339611845113, 90244094908645, 421315991479693

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, 1030190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -28*x^18 +57*x^17 -85*x^16 +397*x^15 -879*x^14 +16219*x^13 -33317*x^12 +149487*x^11 -182804*x^10 -515095*x^9 -182804*x^8 -149487*x^7 -33317*x^6 -16219*x^5 -879*x^4 -397*x^3 -85*x^2 -57*x -28) / (x^20 -1030190*x^10 +1). - Colin Barker, Dec 18 2013

Mathematica

Numerator[Convergents[Sqrt[804], 30]] (* Vincenzo Librandi, Nov 28 2013 *)

Crossrefs

Cf. A042551, A040775.

Sequence in context: A181455 A042554 A042552 * A042548 A042558 A042556

Adjacent sequences: A042547 A042548 A042549 * A042551 A042552 A042553

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved