A042563 Denominators of continued fraction convergents to sqrt(810).

1, 2, 11, 13, 63, 76, 443, 962, 54315, 109592, 602275, 711867, 3449743, 4161610, 24257793, 52677196, 2974180769, 6001038734, 32979374439, 38980413173, 188901027131, 227881440304, 1328308228651, 2884497897606, 162860190494587, 328604878886780

Offset

0,2

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, 54758, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^14 -2*x^13 +11*x^12 -13*x^11 +63*x^10 -76*x^9 +443*x^8 -962*x^7 -443*x^6 -76*x^5 -63*x^4 -13*x^3 -11*x^2 -2*x -1) / ((x^8 -234*x^4 -1)*(x^8 +234*x^4 -1)). - Colin Barker, Dec 18 2013

Mathematica

Denominator[Convergents[Sqrt[810], 30]] (* Harvey P. Dale, Dec 25 2012 *)

Crossrefs

Cf. A042562, A040781.

Sequence in context: A291464 A262832 A091021 * A041163 A073914 A266991

Adjacent sequences: A042560 A042561 A042562 * A042564 A042565 A042566

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 18 2013

Status

approved