A041346 Numerators of continued fraction convergents to sqrt(187).

13, 14, 41, 547, 1135, 1682, 44867, 46549, 137965, 1840094, 3818153, 5658247, 150932575, 156590822, 464114219, 6190075669, 12844265557, 19034341226, 507737137433, 526771478659, 1561280094751, 20823412710422, 43208105515595, 64031518226017, 1708027579392037

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..200

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,3364,0,0,0,0,0,-1).

Formula

G.f.: -(x^11 -13*x^10 +14*x^9 -41*x^8 +547*x^7 -1135*x^6 -1682*x^5 -1135*x^4 -547*x^3 -41*x^2 -14*x -13) / (x^12 -3364*x^6 +1). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[187], 30]] (* Vincenzo Librandi, Nov 01 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 3364, 0, 0, 0, 0, 0, -1}, {13, 14, 41, 547, 1135, 1682, 44867, 46549, 137965, 1840094, 3818153, 5658247}, 30] (* Harvey P. Dale, Dec 22 2013 *)

Crossrefs

Cf. A041347.

Sequence in context: A346544 A041350 A041348 * A329650 A041352 A041354

Adjacent sequences: A041343 A041344 A041345 * A041347 A041348 A041349

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved