A041640 Numerators of continued fraction convergents to sqrt(339).

18, 37, 92, 221, 313, 5542, 5855, 17252, 40359, 97970, 3567279, 7232528, 18032335, 43297198, 61329533, 1085899259, 1147228792, 3380356843, 7907942478, 19196241799, 698972647242, 1417141536283, 3533255719808, 8483652975899, 12016908695707, 212771100802918

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,195940,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -18*x^18 +37*x^17 -92*x^16 +221*x^15 -313*x^14 +5542*x^13 -5855*x^12 +17252*x^11 -40359*x^10 -97970*x^9 -40359*x^8 -17252*x^7 -5855*x^6 -5542*x^5 -313*x^4 -221*x^3 -92*x^2 -37*x -18) / (x^20 -195940*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[339], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041641.

Sequence in context: A212428 A195147 A198276 * A041642 A041644 A041646

Adjacent sequences: A041637 A041638 A041639 * A041641 A041642 A041643

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved