A041344 Numerators of continued fraction convergents to sqrt(186).

13, 14, 27, 41, 150, 641, 2073, 2714, 4787, 7501, 199813, 207314, 407127, 614441, 2250450, 9616241, 31099173, 40715414, 71814587, 112530001, 2997594613, 3110124614, 6107719227, 9217843841, 33761250750, 144262846841, 466549791273, 610812638114, 1077362429387

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,15002,0,0,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^19 -13*x^18 +14*x^17 -27*x^16 +41*x^15 -150*x^14 +641*x^13 -2073*x^12 +2714*x^11 -4787*x^10 -7501*x^9 -4787*x^8 -2714*x^7 -2073*x^6 -641*x^5 -150*x^4 -41*x^3 -27*x^2 -14*x -13) / (x^20 -15002*x^10 +1). - Colin Barker, Nov 10 2013

Mathematica

Numerator[Convergents[Sqrt[186], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041345.

Sequence in context: A022103 A224224 A041342 * A041340 A041338 A042411

Adjacent sequences: A041341 A041342 A041343 * A041345 A041346 A041347

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 10 2013

Status

approved