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A041444 Numerators of continued fraction convergents to sqrt(238). 2
15, 31, 77, 108, 1589, 1697, 4983, 11663, 354873, 721409, 1797691, 2519100, 37065091, 39584191, 116233473, 272051137, 8277767583, 16827586303, 41932940189, 58760526492, 864580311077, 923340837569, 2711261986215, 6345864809999, 193087206286185 (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 (0,0,0,0,0,0,0,23326,0,0,0,0,0,0,0,-1).

FORMULA

G.f.: -(x^15 -15*x^14 +31*x^13 -77*x^12 +108*x^11 -1589*x^10 +1697*x^9 -4983*x^8 -11663*x^7 -4983*x^6 -1697*x^5 -1589*x^4 -108*x^3 -77*x^2 -31*x -15) / (x^16 -23326*x^8 +1). - Colin Barker, Nov 17 2013

MATHEMATICA

Numerator[Convergents[Sqrt[238], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

CROSSREFS

Cf. A041445, A040222.

Sequence in context: A283122 A195046 A102955 * A041446 A042853 A065575

Adjacent sequences:  A041441 A041442 A041443 * A041445 A041446 A041447

KEYWORD

nonn,cofr,frac,easy

AUTHOR

N. J. A. Sloane.

EXTENSIONS

More terms from Colin Barker, Nov 17 2013

STATUS

approved

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Last modified February 20 21:05 EST 2019. Contains 320347 sequences. (Running on oeis4.)