A042170 Numerators of continued fraction convergents to sqrt(610).

24, 25, 74, 247, 1309, 6792, 21685, 50162, 71847, 3498818, 3570665, 10640148, 35491109, 188095693, 975969574, 3116004415, 7207978404, 10323982819, 502759153716, 513083136535, 1528925426786, 5099859416893, 27028222511251, 140240971973148, 447751138430695

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,143694,0,0,0,0,0,0,0,0,1).

Formula

G.f.: -(x^17 -24*x^16 +25*x^15 -74*x^14 +247*x^13 -1309*x^12 +6792*x^11 -21685*x^10 +50162*x^9 +71847*x^8 +50162*x^7 +21685*x^6 +6792*x^5 +1309*x^4 +247*x^3 +74*x^2 +25*x +24) / (x^18 +143694*x^9 -1). - Colin Barker, Dec 03 2013

Mathematica

Numerator[Convergents[Sqrt[610], 30]] (* Vincenzo Librandi, Nov 18 2013 *)

Crossrefs

Cf. A042171, A040585.

Sequence in context: A042152 A042172 A042174 * A042168 A042178 A042180

Adjacent sequences: A042167 A042168 A042169 * A042171 A042172 A042173

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Dec 03 2013

Status

approved