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A041414 Numerators of continued fraction convergents to sqrt(222). 2
14, 15, 134, 149, 4306, 4455, 39946, 44401, 1283174, 1327575, 11903774, 13231349, 382381546, 395612895, 3547284706, 3942897601, 113948417534, 117891315135, 1057078938614, 1174970253749, 33956246043586 (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 (0,0,0,298,0,0,0,-1).

FORMULA

G.f.: (14 +15*x +134*x^2 +149*x^3 +134*x^4 -15*x^5 +14*x^6 -x^7) / (1 -298*x^4 +x^8). - Vincenzo Librandi, Nov 02 2013

MATHEMATICA

Numerator[Convergents[Sqrt[222], 30]] (* or *) CoefficientList[Series[(14 + 15 x + 134 x^2 + 149 x^3 + 134 x^4 - 15 x^5 + 14 x^6 - x^7)/(1 - 298 x^4 + x^8), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)

CROSSREFS

Cf. A041415.

Sequence in context: A041406 A041410 A041412 * A033050 A225757 A041416

Adjacent sequences:  A041411 A041412 A041413 * A041415 A041416 A041417

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 30 18:07 EDT 2020. Contains 334728 sequences. (Running on oeis4.)