A041348 Numerators of continued fraction convergents to sqrt(188).

13, 14, 41, 96, 617, 1330, 3277, 4607, 123059, 127666, 378391, 884448, 5685079, 12254606, 30194291, 42448897, 1133865613, 1176314510, 3486494633, 8149303776, 52382317289, 112913938354, 278210193997, 391124132351, 10447437635123, 10838561767474

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,9214,0,0,0,0,0,0,0,-1).

Formula

G.f.: -(x^15 -13*x^14 +14*x^13 -41*x^12 +96*x^11 -617*x^10 +1330*x^9 -3277*x^8 -4607*x^7 -3277*x^6 -1330*x^5 -617*x^4 -96*x^3 -41*x^2 -14*x -13) / ((x^8 -96*x^4 +1)*(x^8 +96*x^4 +1)). - Colin Barker, Nov 06 2013

Mathematica

Numerator[Convergents[Sqrt[188], 30]] (* Vincenzo Librandi, Nov 01 2013 *)

Crossrefs

Cf. A041349.

Sequence in context: A071870 A346544 A041350 * A041346 A329650 A041352

Adjacent sequences: A041345 A041346 A041347 * A041349 A041350 A041351

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 06 2013

Status

approved