A041332 Numerators of continued fraction convergents to sqrt(180).

13, 27, 67, 161, 4253, 8667, 21587, 51841, 1369453, 2790747, 6950947, 16692641, 440959613, 898611867, 2238183347, 5374978561, 141987625933, 289350230427, 720688086787, 1730726404001, 45719574590813, 93169875585627, 232059325762067, 557288527109761

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,322,0,0,0,-1).

Formula

G.f.: -(x+1)*(x^6-14*x^5+41*x^4-108*x^3-53*x^2-14*x-13) / ((x^2-4*x-1)*(x^2+4*x-1)*(x^4+18*x^2+1)). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[180], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 322, 0, 0, 0, -1}, {13, 27, 67, 161, 4253, 8667, 21587, 51841}, 40] (* Harvey P. Dale, Apr 02 2023 *)

Crossrefs

Cf. A041333.

Sequence in context: A147450 A195045 A098266 * A041334 A146380 A146372

Adjacent sequences: A041329 A041330 A041331 * A041333 A041334 A041335

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved