OFFSET
0,2
LINKS
Harvey P. Dale, Table of n, a(n) for n = 0..1000
Index entries for linear recurrences with constant coefficients, signature (15,-75,125).
FORMULA
a(0)=0, a(1)=5, a(2)=100, a(n)=15*a(n-1)-75*a(n-2)+125*a(n-3) [From Harvey P. Dale, Dec 30 2011]
G.f.: -5*(5*x^2+x)/(5*x-1)^3. - Harvey P. Dale, Dec 30 2011
MATHEMATICA
Table[n^2 5^n, {n, 0, 20}] (* or *) LinearRecurrence[{15, -75, 125}, {0, 5, 100}, 20] (* Harvey P. Dale, Dec 30 2011 *)
PROG
(PARI) a(n)=n^2*5^n \\ Charles R Greathouse IV, May 16 2018
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Apr 07 2007
STATUS
approved