A041172 Numerators of continued fraction convergents to sqrt(96).

9, 10, 39, 49, 921, 970, 3831, 4801, 90249, 95050, 375399, 470449, 8843481, 9313930, 36785271, 46099201, 866570889, 912670090, 3604581159, 4517251249, 84915103641, 89432354890, 353212168311

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (0,0,0,98,0,0,0,-1).

Formula

G.f.: (9 + 10*x + 39*x^2 + 49*x^3 + 39*x^4 - 10*x^5 + 9*x^6 - x^7) / ((1 - 10*x^2 + x^4 )*(1 + 10*x^2 + x^4)). [Bruno Berselli, Oct 30 2013]

Mathematica

Numerator[Convergents[Sqrt[96], 30]] (* Harvey P. Dale, Jan 31 2013 *)

Crossrefs

Cf. A010547, A041173.

Sequence in context: A038206 A344132 A154389 * A248353 A156857 A259914

Adjacent sequences: A041169 A041170 A041171 * A041173 A041174 A041175

Keyword

nonn,cofr,frac,easy

Author

N. J. A. Sloane.

Status

approved