A041662 Numerators of continued fraction convergents to sqrt(350).

18, 19, 56, 131, 318, 449, 16482, 16931, 50344, 117619, 285582, 403201, 14800818, 15204019, 45208856, 105621731, 256452318, 362074049, 13291118082, 13653192131, 40597502344, 94848196819, 230293895982, 325142092801, 11935409236818, 12260551329619

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,898,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -18*x^10 +19*x^9 -56*x^8 +131*x^7 -318*x^6 -449*x^5 -318*x^4 -131*x^3 -56*x^2 -19*x -18) / ((x^6 -30*x^3 +1)*(x^6 +30*x^3 +1)). - Colin Barker, Nov 09 2013

Mathematica

Numerator[Convergents[Sqrt[350], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041663.

Sequence in context: A034122 A299454 A041664 * A300092 A042517 A041660

Adjacent sequences: A041659 A041660 A041661 * A041663 A041664 A041665

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 09 2013

Status

approved