A041985 Denominators of continued fraction convergents to sqrt(515).

1, 1, 3, 10, 13, 49, 62, 235, 532, 767, 34280, 35047, 104374, 348169, 452543, 1705798, 2158341, 8180821, 18519983, 26700804, 1193355359, 1220056163, 3633467685, 12120459218, 15753926903, 59382239927, 75136166830, 284790740417, 644717647664, 929508388081

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, 34812, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^18 -x^17 +3*x^16 -10*x^15 +13*x^14 -49*x^13 +62*x^12 -235*x^11 +532*x^10 -767*x^9 -532*x^8 -235*x^7 -62*x^6 -49*x^5 -13*x^4 -10*x^3 -3*x^2 -x -1) / (x^20 -34812*x^10 +1). - _Colin Barker_, Nov 28 2013

Mathematica

Denominator[Convergents[Sqrt[515], 30]] (* _Vincenzo Librandi_, Jan 11 2014 *)

Crossrefs

Cf. A041984, A040492.

Sequence in context: A042331 A082975 A275432 * A081519 A041121 A002354

Adjacent sequences: A041982 A041983 A041984 * A041986 A041987 A041988

Keyword

nonn,frac,easy

Author

_N. J. A. Sloane_

Extensions

More terms from _Colin Barker_, Nov 28 2013

Status

approved