OFFSET
0,2
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (6, -5).
FORMULA
G.f.: (1+2*x)/((1-x)*(1-5*x)). - Philippe Deléham, Feb 22 2014
a(n) = 6*a(n-1) - 5*a(n-2), a(0) = 1, a(1) = 8. - Philippe Deléham, Feb 22 2014
EXAMPLE
If n=1 then a(1) = 5*a(0) + 3 = 5*1 + 3 = 8 which is the second term.
MATHEMATICA
a[0] := 1; a[n_] := 5*a[n - 1] + 3; Table[a[n], {n, 0, 35}] (* Stefan Steinerberger, Apr 08 2006 *)
NestList[5#+3&, 1, 20] (* Harvey P. Dale, Jun 14 2024 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Parthasarathy Nambi, Apr 07 2006
EXTENSIONS
More terms from Stefan Steinerberger, Apr 08 2006
STATUS
approved