A041154 Numerators of continued fraction convergents to sqrt(87).
9, 28, 513, 1567, 28719, 87724, 1607751, 4910977, 90005337, 274926988, 5038691121, 15391000351, 282076697439, 861621092668, 15791256365463, 48235390189057, 884028279768489, 2700320229494524, 49489792410669921
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..100
- Index entries for linear recurrences with constant coefficients, signature (0,56,0,-1).
Programs
-
Mathematica
Numerator[Convergents[Sqrt[87], 30]] (* Vincenzo Librandi, Oct 29 2013 *)
Formula
G.f.: (9 + 28*x + 9*x^2 - x^3) / (1 - 56*x^2 + x^4). [Bruno Berselli, Oct 29 2013]
a(n) = 56*a(n-2) - a(n-4). [Bruno Berselli, Oct 29 2013]