OFFSET
0,2
COMMENTS
Binomial transform of A083319.
LINKS
Index entries for linear recurrences with constant coefficients, signature (12,-47,60).
FORMULA
a(n) = 5^n + 4^n - 3^n.
G.f.: (1-6x+7x^2)/((1-3x)(1-4x)(1-5x)).
E.g.f.: exp(5x) + exp(4x) - exp(3x).
MATHEMATICA
Table[5^n+4^n-3^n, {n, 0, 30}] (* or *) LinearRecurrence[{12, -47, 60}, {1, 6, 32}, 30] (* Harvey P. Dale, Aug 19 2020 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 25 2003
STATUS
approved