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A042175 Denominators of continued fraction convergents to sqrt(612). 2
1, 1, 3, 4, 19, 23, 65, 88, 4289, 4377, 13043, 17420, 82723, 100143, 283009, 383152, 18674305, 19057457, 56789219, 75846676, 360175923, 436022599, 1232221121, 1668243720, 81307919681, 82976163401, 247260246483, 330236409884, 1568205886019, 1898442295903 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

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^2 - x - 1)*(x^4 + 4*x^2 + 1)*(x^8 + 22*x^4 + 1) / ((x^4 - 8*x^2 - 1)*(x^4 + 8*x^2 - 1)*(x^8 + 66*x^4 + 1)). - Colin Barker, Dec 03 2013

MATHEMATICA

Denominator[Convergents[Sqrt[612], 30]] (* Vincenzo Librandi, Jan 16 2014 *)

CROSSREFS

Cf. A042174, A040587.

Sequence in context: A248590 A143150 A100340 * A041703 A036253 A212113

Adjacent sequences: A042172 A042173 A042174 * A042176 A042177 A042178

KEYWORD

nonn,frac,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Colin Barker, Dec 03 2013

STATUS

approved

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Last modified December 3 08:35 EST 2022. Contains 358515 sequences. (Running on oeis4.)