A041128 Numerators of continued fraction convergents to sqrt(73).

8, 9, 17, 94, 487, 581, 1068, 17669, 18737, 36406, 200767, 1040241, 1241008, 2281249, 37740992, 40022241, 77763233, 428838406, 2221955263, 2650793669, 4872748932, 80614776581, 85487525513, 166102302094, 915999035983, 4746097482009, 5662096517992

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,2136,0,0,0,0,0,0,1).

Formula

G.f.: -(x^13 -8*x^12 +9*x^11 -17*x^10 +94*x^9 -487*x^8 +581*x^7 +1068*x^6 +581*x^5 +487*x^4 +94*x^3 +17*x^2 +9*x +8) / (x^14 +2136*x^7 -1). - Colin Barker, Nov 08 2013

Mathematica

Numerator[Convergents[Sqrt[73], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
LinearRecurrence[{0, 0, 0, 0, 0, 0, 2136, 0, 0, 0, 0, 0, 0, 1}, {8, 9, 17, 94, 487, 581, 1068, 17669, 18737, 36406, 200767, 1040241, 1241008, 2281249}, 30] (* Harvey P. Dale, Jul 12 2023 *)

Crossrefs

Cf. A010525, A041129.

Sequence in context: A020693 A042753 A042727 * A041551 A356699 A057104

Adjacent sequences: A041125 A041126 A041127 * A041129 A041130 A041131

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 08 2013

Status

approved