OFFSET
0,2
COMMENTS
Binomial transform of A083313
LINKS
Index entries for linear recurrences with constant coefficients, signature (8,-19,12)
FORMULA
a(n)=(2*4^n-(3^n-1))/2
G.f. (1-5x+7x^2)/((1-x)(1-3x)(1-4x))
E.g.f. (2exp(4x)-exp(3x)+exp(x))/2
MATHEMATICA
Table[(2*4^n-(3^n-1))/2, {n, 0, 30}] (* or *) LinearRecurrence[{8, -19, 12}, {1, 3, 12}, 30] (* Harvey P. Dale, Sep 29 2016 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 24 2003
STATUS
approved