login
A248343
10^n - 8^n.
0
0, 2, 36, 488, 5904, 67232, 737856, 7902848, 83222784, 865782272, 8926258176, 91410065408, 931280523264, 9450244186112, 95601953488896, 964815627911168, 9718525023289344, 97748200186314752, 981985601490518016, 9855884811924144128
OFFSET
0,2
FORMULA
G.f.: 2*x/((1-8*x)*(1-10*x)).
a(n) = 18*a(n-1) - 80*a(n-2).
a(n) = 2^n*(5^n-4^n) = A000079(n) * A005060(n) = A011557(n) - A001018(n).
a(n+1) = 2*A016186(n).
MATHEMATICA
Table[10^n - 8^n, {n, 0, 25}] (* or *) CoefficientList[Series[2 x/((1 - 8 x) (1 - 10 x)), {x, 0, 30}], x]
LinearRecurrence[{18, -80}, {0, 2}, 30] (* Harvey P. Dale, May 21 2018 *)
PROG
(Magma) [10^n-8^n: n in [0..30]];
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Oct 05 2014
STATUS
approved