A041296 Numerators of continued fraction convergents to sqrt(161).

12, 13, 38, 165, 203, 571, 774, 3667, 8108, 11775, 290708, 302483, 895674, 3885179, 4780853, 13446885, 18227738, 86357837, 190943412, 277301249, 6846173388, 7123474637, 21093122662, 91495965285, 112589087947, 316674141179, 429263229126, 2033727057683

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,23550,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -12*x^18 +13*x^17 -38*x^16 +165*x^15 -203*x^14 +571*x^13 -774*x^12 +3667*x^11 -8108*x^10 -11775*x^9 -8108*x^8 -3667*x^7 -774*x^6 -571*x^5 -203*x^4 -165*x^3 -38*x^2 -13*x -12) / (x^20 -23550*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[161], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041297.

Sequence in context: A037304 A041298 A041689 * A091908 A329597 A371704

Adjacent sequences: A041293 A041294 A041295 * A041297 A041298 A041299

Keyword

nonn,frac,cofr,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved