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A041424 Numerators of continued fraction convergents to sqrt(228). 2
15, 151, 4545, 45601, 1372575, 13771351, 414513105, 4158902401, 125181585135, 1255974753751, 37804424197665, 379300216730401, 11416810926109695, 114547409477827351, 3447839095260930225 (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 (0,302,0,-1).

FORMULA

G.f.: -(x^3-15*x^2-151*x-15)/(x^4-302*x^2+1). - Vincenzo Librandi, Nov 02 2013

MATHEMATICA

Numerator[Convergents[Sqrt[228], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

CoefficientList[Series[-(x^3 - 15 x^2 - 151 x - 15)/(x^4 - 302 x^2 + 1), {x, 0, 30}], x] (* Vincenzo Librandi, Nov 02 2013 *)

CROSSREFS

Cf. A041425.

Sequence in context: A206366 A016103 A206361 * A021124 A004322 A125403

Adjacent sequences:  A041421 A041422 A041423 * A041425 A041426 A041427

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)