A041638 Numerators of continued fraction convergents to sqrt(338).

18, 37, 55, 92, 239, 8696, 17631, 26327, 43958, 114243, 4156706, 8427655, 12584361, 21012016, 54608393, 1986914164, 4028436721, 6015350885, 10043787606, 26102926097, 949749127098, 1925601180293, 2875350307391, 4800951487684, 12477253282759, 453982069667008

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, 478, 0, 0, 0, 0, 1).

Formula

G.f.: -(x^9-18*x^8+37*x^7-55*x^6+92*x^5+239*x^4+92*x^3+55*x^2+37*x+18) / (x^10+478*x^5-1). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[338], 40]]

Crossrefs

Cf. A041639.

Sequence in context: A115550 A061713 A198802 * A041636 A212428 A195147

Adjacent sequences: A041635 A041636 A041637 * A041639 A041640 A041641

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved