A041570 Numerators of continued fraction convergents to sqrt(303).

17, 35, 87, 470, 1027, 2524, 86843, 176210, 439263, 2372525, 5184313, 12741151, 438383447, 889508045, 2217399537, 11976505730, 26170410997, 64317327724, 2212959553613, 4490236434950, 11193432423513, 60457398552515, 132108229528543, 324673857609601

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,5048,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -17*x^10 +35*x^9 -87*x^8 +470*x^7 -1027*x^6 -2524*x^5 -1027*x^4 -470*x^3 -87*x^2 -35*x -17) / (x^12 -5048*x^6 +1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[303], 30]] (* Harvey P. Dale, Feb 25 2013 *)

Crossrefs

Cf. A041571.

Sequence in context: A212427 A195047 A198587 * A041572 A146729 A041574

Adjacent sequences: A041567 A041568 A041569 * A041571 A041572 A041573

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved