A041734 Numerators of continued fraction convergents to sqrt(387).

19, 20, 59, 1141, 2341, 3482, 134657, 138139, 410935, 7945904, 16302743, 24248647, 937751329, 961999976, 2861751281, 55335274315, 113532299911, 168867574226, 6530500120499, 6699367694725, 19929235509949, 385354842383756, 790638920277461, 1175993762661217

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, 6964, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^11 -19*x^10 +20*x^9 -59*x^8 +1141*x^7 -2341*x^6 -3482*x^5 -2341*x^4 -1141*x^3 -59*x^2 -20*x -19) / (x^12 -6964*x^6 +1). - Colin Barker, Nov 11 2013

Mathematica

Numerator[Convergents[Sqrt[387], 30]] (* Vincenzo Librandi, Nov 07 2013 *)

Crossrefs

Cf. A041735.

Sequence in context: A041738 A041740 A041736 * A041744 A041742 A041746

Adjacent sequences: A041731 A041732 A041733 * A041735 A041736 A041737

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 11 2013

Status

approved