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A041650 Numerators of continued fraction convergents to sqrt(344). 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified July 16 04:26 EDT 2019. Contains 325064 sequences. (Running on oeis4.)