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A041332 Numerators of continued fraction convergents to sqrt(180). 2
13, 27, 67, 161, 4253, 8667, 21587, 51841, 1369453, 2790747, 6950947, 16692641, 440959613, 898611867, 2238183347, 5374978561, 141987625933, 289350230427, 720688086787, 1730726404001, 45719574590813, 93169875585627, 232059325762067, 557288527109761 (list; graph; refs; listen; history; text; internal format)
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 *)

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

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Last modified September 20 20:12 EDT 2019. Contains 327247 sequences. (Running on oeis4.)