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A041452 Numerators of continued fraction convergents to sqrt(242). 2
15, 16, 31, 109, 140, 2069, 2209, 8696, 10905, 19601, 598935, 618536, 1217471, 4270949, 5488420, 81108829, 86597249, 340900576, 427497825, 768398401, 23479449855, 24247848256, 47727298111, 167429742589, 215157040700, 3179628312389, 3394785353089 (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 (0,0,0,0,0,0,0,0,0,39202,0,0,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^19 -15*x^18 +16*x^17 -31*x^16 +109*x^15 -140*x^14 +2069*x^13 -2209*x^12 +8696*x^11 -10905*x^10 -19601*x^9 -10905*x^8 -8696*x^7 -2209*x^6 -2069*x^5 -140*x^4 -109*x^3 -31*x^2 -16*x -15) / ((x^10 -198*x^5 +1)*(x^10 +198*x^5 +1)). - Colin Barker, Nov 17 2013

MATHEMATICA

Numerator[Convergents[Sqrt[242], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

CROSSREFS

Cf. A041453, A040226.

Sequence in context: A041456 A041458 A041454 * A041450 A042867 A296863

Adjacent sequences:  A041449 A041450 A041451 * A041453 A041454 A041455

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 17 2013

STATUS

approved

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Last modified March 20 07:42 EDT 2019. Contains 321345 sequences. (Running on oeis4.)