OFFSET
0,1
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..200
Tanya Khovanova, Recursive Sequences
Index entries for linear recurrences with constant coefficients, signature (60,1).
FORMULA
From Philippe Deléham, Nov 23 2008: (Start)
a(n) = 60*a(n-1)+a(n-2) for n>1, a(0)=30, a(1)=1801.
G.f.: (30+x)/(1-60*x-x^2). (End)
E.g.f.: exp(30*x)*(30*cosh(sqrt(901)*x) + sqrt(901)*sinh(sqrt(901)*x)). - Stefano Spezia, May 14 2023
MATHEMATICA
Numerator[Convergents[Sqrt[901], 30]] (* Vincenzo Librandi, Dec 03 2013 *)
CROSSREFS
KEYWORD
nonn,frac,easy
AUTHOR
STATUS
approved