A041650 Numerators of continued fraction convergents to sqrt(344).

18, 19, 37, 167, 204, 779, 983, 4711, 5694, 10405, 380274, 390679, 770953, 3474491, 4245444, 16210823, 20456267, 98035891, 118492158, 216528049, 7913501922, 8130029971, 16043531893, 72304157543, 88347689436, 337347225851, 425694915287, 2040126886999

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, 20810, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -18*x^18 +19*x^17 -37*x^16 +167*x^15 -204*x^14 +779*x^13 -983*x^12 +4711*x^11 -5694*x^10 -10405*x^9 -5694*x^8 -4711*x^7 -983*x^6 -779*x^5 -204*x^4 -167*x^3 -37*x^2 -19*x -18) / (x^20 -20810*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[344], 30]] (* Vincenzo Librandi, Nov 06 2013 *)

Crossrefs

Cf. A041651.

Sequence in context: A042507 A041658 A041652 * A041648 A034122 A299454

Adjacent sequences: A041647 A041648 A041649 * A041651 A041652 A041653

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved