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A155592
8^n+2^n-1^n.
19
1, 9, 67, 519, 4111, 32799, 262207, 2097279, 16777471, 134218239, 1073742847, 8589936639, 68719480831, 549755822079, 4398046527487, 35184372121599, 281474976776191, 2251799813816319, 18014398509744127, 144115188076380159
OFFSET
0,2
FORMULA
G.f.: 1/(1-8*x)+1/(1-2*x)-1/(1-x). E.g.f.: e^(8*x)+e^(2*x)-e^x.
a(n)=10*a(n-1)-16*a(n-2)-7 with a(0)=1, a(1)=9 - Vincenzo Librandi, Jul 21 2010
a(n) = A074603(n)-1. - R. J. Mathar, Mar 10 2022
MATHEMATICA
Table[8^n+2^n-1^n, {n, 0, 30}] (* or *) LinearRecurrence[{11, -26, 16}, {1, 9, 67}, 30] (* Harvey P. Dale, Jul 09 2017 *)
PROG
(PARI) a(n)=8^n+2^n-1 \\ Charles R Greathouse IV, Jun 11 2015
KEYWORD
nonn,easy
AUTHOR
Mohammad K. Azarian, Jan 24 2009
STATUS
approved