OFFSET
0,2
COMMENTS
Binomial transform of A083076.
LINKS
Nathaniel Johnston, Table of n, a(n) for n = 0..250
Index entries for linear recurrences with constant coefficients, signature (10,-16).
FORMULA
G.f.: (1-4*x)/((1-2*x)*(1-8*x));
E.g.f.: (2*exp(8*x) + exp(2*x))/3.
a(n) = (2*8^n + 2^n)/3.
a(n) = 2^n*A001045(2n+1). - Paul Barry, Sep 10 2007
MAPLE
seq((2*8^n+2^n)/3, n=0..20); # Nathaniel Johnston, Jun 26 2011
MATHEMATICA
Table[(2*8^n+2^n)/3, {n, 0, 30}] (* or *) LinearRecurrence[{10, -16}, {1, 6}, 30] (* Harvey P. Dale, Sep 30 2018 *)
PROG
(PARI) a(n)=(2*8^n+2^n)/3 \\ Charles R Greathouse IV, Oct 07 2015
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, Apr 23 2003
STATUS
approved