A041320 Numerators of continued fraction convergents to sqrt(174).

13, 66, 277, 1451, 38003, 191466, 803867, 4210801, 110284693, 555634266, 2332821757, 12219743051, 320046141083, 1612450448466, 6769847934947, 35461690123201, 928773791138173, 4679330645814066, 19646096374394437, 102909812517786251, 2695301221836836963

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,2902,0,0,0,-1).

Formula

G.f.: -(x^7-13*x^6+66*x^5-277*x^4-1451*x^3-277*x^2-66*x-13) / (x^8-2902*x^4+1). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[174], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041321.

Sequence in context: A147075 A268777 A109727 * A058380 A129746 A067863

Adjacent sequences: A041317 A041318 A041319 * A041321 A041322 A041323

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved