A041094 Numerators of continued fraction convergents to sqrt(55).

7, 15, 37, 89, 1283, 2655, 6593, 15841, 228367, 472575, 1173517, 2819609, 40648043, 84115695, 208879433, 501874561, 7235123287, 14972121135, 37179365557, 89330852249, 1287811297043, 2664953446335, 6617718189713, 15900389825761, 229223175750367

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..300

Index entries for linear recurrences with constant coefficients, signature (0,0,0,178,0,0,0,-1).

Formula

G.f.: -(x+1)*(x^6-8*x^5+23*x^4-60*x^3-29*x^2-8*x-7) / (x^8-178*x^4+1). - Colin Barker, Nov 04 2013

Mathematica

Numerator[Convergents[Sqrt[55], 30]] (* Harvey P. Dale, Aug 15 2013 *)

Crossrefs

Cf. A041095.

Sequence in context: A146837 A146044 A048694 * A042287 A309732 A309493

Adjacent sequences: A041091 A041092 A041093 * A041095 A041096 A041097

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane

Extensions

More terms from Colin Barker, Nov 04 2013

Status

approved