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A155606
a(n) = 8^n + 3^n - 1.
9
1, 10, 72, 538, 4176, 33010, 262872, 2099338, 16783776, 134237410, 1073800872, 8590111738, 68720008176, 549757408210, 4398051294072, 35184386437738, 281475019757376, 2251799942825410, 18014398896902472, 144115189238117338
OFFSET
0,2
FORMULA
G.f.: 1/(1-8*x) + 1/(1-3*x) - 1/(1-x).
E.g.f.: e^(8*x) + e^(3*x) - e^x.
a(n) = 11*a(n-1) - 24*a(n-2) - 14 with a(0)=1, a(1)=10. - Vincenzo Librandi, Jul 21 2010
EXAMPLE
G.f. = 1 + 10*x + 72*x^2 + 538*x^3 + 4176*x^4 + 33010*x^5 + 262872*x^6 + ...
MAPLE
A155606:=n->8^n+3^n-1: seq(A155606(n), n=0..30); # Wesley Ivan Hurt, Jan 24 2017
PROG
(PARI) a(n)=8^n+3^n-1 \\ Charles R Greathouse IV, Jun 11 2015
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 25 2009
STATUS
approved