A042138 Numerators of continued fraction convergents to sqrt(594).

24, 49, 73, 195, 1048, 25347, 127783, 280913, 408696, 1098305, 53127336, 107352977, 160480313, 428313603, 2302048328, 55677473475, 280689415703, 617056304881, 897745720584, 2412547746049, 116700037530936, 235812622807921, 352512660338857, 940837943485635

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,2196610,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -24*x^18 +49*x^17 -73*x^16 +195*x^15 -1048*x^14 +25347*x^13 -127783*x^12 +280913*x^11 -408696*x^10 -1098305*x^9 -408696*x^8 -280913*x^7 -127783*x^6 -25347*x^5 -1048*x^4 -195*x^3 -73*x^2 -49*x -24) / (x^20 -2196610*x^10 +1). - Colin Barker, Dec 02 2013

Mathematica

Numerator[Convergents[Sqrt[594], 30]] (* Vincenzo Librandi, Nov 17 2013 *)

Crossrefs

Cf. A042139, A040569.

Sequence in context: A105844 A129837 A042140 * A042136 A043366 A023739

Adjacent sequences: A042135 A042136 A042137 * A042139 A042140 A042141

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 02 2013

Status

approved