A041984 Numerators of continued fraction convergents to sqrt(515).

22, 23, 68, 227, 295, 1112, 1407, 5333, 12073, 17406, 777937, 795343, 2368623, 7901212, 10269835, 38710717, 48980552, 185652373, 420285298, 605937671, 27081542822, 27687480493, 82456503808, 275056991917, 357513495725, 1347597479092, 1705110974817

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, 34812, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -22*x^18 +23*x^17 -68*x^16 +227*x^15 -295*x^14 +1112*x^13 -1407*x^12 +5333*x^11 -12073*x^10 -17406*x^9 -12073*x^8 -5333*x^7 -1407*x^6 -1112*x^5 -295*x^4 -227*x^3 -68*x^2 -23*x -22) / (x^20 -34812*x^10 +1). - Colin Barker, Nov 28 2013

Mathematica

Numerator[Convergents[Sqrt[515], 30]] (* Vincenzo Librandi, Nov 13 2013 *)

Crossrefs

Cf. A041985, A040492.

Sequence in context: A041968 A041986 A041988 * A041982 A252912 A041992

Adjacent sequences: A041981 A041982 A041983 * A041985 A041986 A041987

Keyword

nonn,cofr,frac,easy,less

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 28 2013

Status

approved