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A074617
a(n) = 5^n + 8^n.
2
2, 13, 89, 637, 4721, 35893, 277769, 2175277, 17167841, 136170853, 1083507449, 8638762717, 68963617361, 550976517013, 4404150026729, 35214889666957, 281627564601281, 2252562753138373, 18018213206747609, 144134261562183997
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Jan 11 2009: (Start)
G.f.: 1/(1-5*x) + 1/(1-8*x).
E.g.f.: e^(5*x) + e^(8*x). (End)
a(n) = 13*a(n-1) - 40*a(n-2) with a(0)=2, a(1)=13. - Vincenzo Librandi, Jul 21 2010
MATHEMATICA
Table[5^n + 8^n, {n, 0, 20}]
LinearRecurrence[{13, -40}, {2, 13}, 30] (* Harvey P. Dale, Oct 20 2015 *)
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 26 2002
STATUS
approved