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A074546
a(n) = 2^n + 8^n + 9^n.
1
3, 19, 149, 1249, 10673, 91849, 793649, 6880249, 59824193, 521638729, 4560527249, 39970996249, 351149017313, 3091621650409, 27274838982449, 241075504216249, 2134495165628033, 18928981513482889, 168109033806743249
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Dec 28 2008: (Start)
G.f.: 1/(1-2*x) + 1/(1-8*x) + 1/(1-9*x).
E.g.f.: exp(2*x) + exp(8*x) + exp(9*x). (End)
a(n) = 19*a(n-1) - 106*a(n-2) + 144*a(n-3).
MATHEMATICA
Table[2^n + 8^n + 9^n, {n, 0, 20}]
LinearRecurrence[{19, -106, 144}, {3, 19, 149}, 20] (* Harvey P. Dale, May 31 2013 *)
PROG
(Magma) [ 2^n + 8^n + 9^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved