A041444 Numerators of continued fraction convergents to sqrt(238).

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

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: A324631 A346897 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