A042481 Denominators of continued fraction convergents to sqrt(768).

1, 1, 3, 7, 94, 195, 484, 679, 37150, 37829, 112808, 263445, 3537593, 7338631, 18214855, 25553486, 1398103099, 1423656585, 4245416269, 9914489123, 133133774868, 276182038859, 685497852586, 961679891445, 52616211990616, 53577891882061, 159771995754738

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, 37634, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -x^13 +3*x^12 -7*x^11 +94*x^10 -195*x^9 +484*x^8 -679*x^7 -484*x^6 -195*x^5 -94*x^4 -7*x^3 -3*x^2 -x -1) / ((x^2 -4*x +1)*(x^2 +4*x +1)*(x^4 +14*x^2 +1)*(x^8 +194*x^4 +1)). - Colin Barker, Dec 15 2013

Mathematica

Denominator[Convergents[Sqrt[768], 30]] (* Vincenzo Librandi, Jan 23 2014 *)

Crossrefs

Cf. A042480, A040740.

Sequence in context: A137130 A058379 A111002 * A307661 A177495 A088419

Adjacent sequences: A042478 A042479 A042480 * A042482 A042483 A042484

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 15 2013

Status

approved