A041442 Numerators of continued fraction convergents to sqrt(237).

15, 31, 46, 77, 585, 5927, 42074, 48001, 90075, 228151, 6934605, 14097361, 21031966, 35129327, 266937255, 2704501877, 19198450394, 21902952271, 41101402665, 104105757601, 3164274130695, 6432654018991, 9596928149686, 16029582168677, 121804003330425

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, 456302, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).

Formula

G.f.: -(x^19 -15*x^18 +31*x^17 -46*x^16 +77*x^15 -585*x^14 +5927*x^13 -42074*x^12 +48001*x^11 -90075*x^10 -228151*x^9 -90075*x^8 -48001*x^7 -42074*x^6 -5927*x^5 -585*x^4 -77*x^3 -46*x^2 -31*x -15) / (x^20 -456302*x^10 +1). - Colin Barker, Nov 17 2013

Mathematica

Numerator[Convergents[Sqrt[237], 30]] (* Vincenzo Librandi, Nov 02 2013 *)

Crossrefs

Cf. A041443, A040221.

Sequence in context: A202522 A054305 A362986 * A041440 A042017 A043346

Adjacent sequences: A041439 A041440 A041441 * A041443 A041444 A041445

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Extensions

More terms from Colin Barker, Nov 17 2013

Status

approved