A041514 Numerators of continued fraction convergents to sqrt(274).

16, 17, 33, 149, 629, 778, 1407, 45802, 47209, 93011, 419253, 1770023, 2189276, 3959299, 128886844, 132846143, 261732987, 1179778091, 4980845351, 6160623442, 11141468793, 362687624818, 373829093611, 736516718429, 3319895967327, 14016100587737, 17335996555064

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,2814,0,0,0,0,0,0,1).

Formula

G.f.: -(x^13 -16*x^12 +17*x^11 -33*x^10 +149*x^9 -629*x^8 +778*x^7 +1407*x^6 +778*x^5 +629*x^4 +149*x^3 +33*x^2 +17*x +16) / (x^14 +2814*x^7 -1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[274], 30]] (* Vincenzo Librandi, Nov 04 2013 *)

Crossrefs

Cf. A041515.

Sequence in context: A041520 A058542 A041516 * A041512 A267029 A070869

Adjacent sequences: A041511 A041512 A041513 * A041515 A041516 A041517

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved