A041120 Numerators of continued fraction convergents to sqrt(69).

8, 25, 83, 108, 515, 623, 2384, 7775, 126784, 388127, 1291165, 1679292, 8008333, 9687625, 37071208, 120901249, 1971491192, 6035374825, 20077615667, 26112990492, 124529577635, 150642568127, 576457282016, 1880014414175, 30656687908816, 93850078140623

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,15550,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -8*x^14 +25*x^13 -83*x^12 +108*x^11 -515*x^10 +623*x^9 -2384*x^8 -7775*x^7 -2384*x^6 -623*x^5 -515*x^4 -108*x^3 -83*x^2 -25*x -8) / (x^16 -15550*x^8 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[69], 30]] (* Vincenzo Librandi, Oct 29 2013 *)

Crossrefs

Cf. A010521, A041121.

Sequence in context: A295911 A231791 A035073 * A042637 A133661 A229443

Adjacent sequences: A041117 A041118 A041119 * A041121 A041122 A041123

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved