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A042174 Numerators of continued fraction convergents to sqrt(612). 2
24, 25, 74, 99, 470, 569, 1608, 2177, 106104, 108281, 322666, 430947, 2046454, 2477401, 7001256, 9478657, 461976792, 471455449, 1404887690, 1876343139, 8910260246, 10786603385, 30483467016, 41270070401, 2011446846264, 2052716916665, 6116880679594 (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, 4354, 0, 0, 0, 0, 0, 0, 0, -1).

FORMULA

G.f.: -(x^15 -24*x^14 +25*x^13 -74*x^12 +99*x^11 -470*x^10 +569*x^9 -1608*x^8 -2177*x^7 -1608*x^6 -569*x^5 -470*x^4 -99*x^3 -74*x^2 -25*x -24) / ((x^4 -8*x^2 -1)*(x^4 +8*x^2 -1)*(x^8 +66*x^4 +1)). - Colin Barker, Dec 03 2013

MATHEMATICA

Numerator[Convergents[Sqrt[612], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

CROSSREFS

Cf. A042175, A040587.

Sequence in context: A042154 A042152 A042172 * A042170 A042168 A042178

Adjacent sequences:  A042171 A042172 A042173 * A042175 A042176 A042177

KEYWORD

nonn,cofr,frac,easy,less

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Dec 03 2013

STATUS

approved

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Last modified October 6 23:36 EDT 2022. Contains 357270 sequences. (Running on oeis4.)