A041274 Numerators of continued fraction convergents to sqrt(150).

12, 49, 1188, 4801, 116412, 470449, 11407188, 46099201, 1117788012, 4517251249, 109531817988, 442644523201, 10733000374812, 43374646022449, 1051724504913588, 4250272665676801, 103058268481156812, 416483346590304049

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,98,0,-1).

Formula

a(n) = 9602*a(n-4) - a(n-8) = 98*a(n-2) - a(n-4). - Vincenzo Librandi and Bruno Berselli, Nov 01 2013

G.f.: (3 + x)*(4 + 15*x - x^2)/((1 - 10*x + x^2)*(1 + 10*x + x^2)). [Bruno Berselli, Nov 01 2013]

Mathematica

Numerator[Convergents[Sqrt[150], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 98, 0, -1}, {12, 49, 1188, 4801}, 20] (* Bruno Berselli, Nov 01 2013 *)

Crossrefs

Cf. A041275.

Sequence in context: A288516 A219153 A318404 * A029586 A335698 A081292

Adjacent sequences: A041271 A041272 A041273 * A041275 A041276 A041277

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved