A042821 Denominators of continued fraction convergents to sqrt(941).

1, 1, 3, 34, 37, 552, 1141, 2834, 3975, 6809, 17593, 41995, 605523, 647518, 7728221, 16103960, 23832181, 1446034820, 1469867001, 4385768822, 49713324043, 54099092865, 807100624153, 1668300341171, 4143701306495, 5812001647666, 9955702954161

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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1462138780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = 1462138780*a(n-17) + a(n-34) for n>33. - Vincenzo Librandi, Jan 30 2014

Mathematica

Denominator[Convergents[Sqrt[941], 40]] (* Harvey P. Dale, Dec 02 2014 *)

Crossrefs

Cf. A040910, A042820.

Sequence in context: A225427 A037103 A197220 * A110070 A074692 A003348

Adjacent sequences: A042818 A042819 A042820 * A042822 A042823 A042824

Keyword

nonn,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Vincenzo Librandi, Jan 30 2014

Status

approved