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