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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
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
KEYWORD
nonn,cofr,frac,easy
AUTHOR
EXTENSIONS
More terms from Colin Barker, Nov 06 2013
STATUS
approved

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Last modified April 21 17:00 EDT 2024. Contains 371874 sequences. (Running on oeis4.)