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A041638 Numerators of continued fraction convergents to sqrt(338). 2
18, 37, 55, 92, 239, 8696, 17631, 26327, 43958, 114243, 4156706, 8427655, 12584361, 21012016, 54608393, 1986914164, 4028436721, 6015350885, 10043787606, 26102926097, 949749127098, 1925601180293, 2875350307391, 4800951487684, 12477253282759, 453982069667008 (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, 478, 0, 0, 0, 0, 1).

FORMULA

G.f.: -(x^9-18*x^8+37*x^7-55*x^6+92*x^5+239*x^4+92*x^3+55*x^2+37*x+18) / (x^10+478*x^5-1). - Colin Barker, Nov 09 2013

MATHEMATICA

Numerator[Convergents[Sqrt[338], 40]]

CROSSREFS

Cf. A041639.

Sequence in context: A115550 A061713 A198802 * A041636 A212428 A195147

Adjacent sequences:  A041635 A041636 A041637 * A041639 A041640 A041641

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 09 2013

STATUS

approved

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Last modified November 13 21:28 EST 2019. Contains 329106 sequences. (Running on oeis4.)