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
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).
Programs
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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 *)
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
Extensions
More terms from Colin Barker, Nov 08 2013