OFFSET
0,3
COMMENTS
Binomial transform of A084175.
LINKS
Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (6,-3,-10).
FORMULA
a(n) = (2*5^n - (-1)^n - 2^n)/9.
G.f.: x*(1-x)/((1+x)*(1-2*x)*(1-5*x)).
a(n) = 6*a(n-1) - 3*a(n-2) - 10*a(n-3).
E.g.f.: (2*exp(5*x) - exp(2*x) - exp(-x))/9.
PROG
(Magma) [(2*5^n-(-1)^n-2^n)/9: n in [0..35]]; // Vincenzo Librandi, Jul 05 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Paul Barry, May 18 2003
STATUS
approved