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A074618
a(n) = 5^n + 9^n.
0
2, 14, 106, 854, 7186, 62174, 547066, 4861094, 43437346, 389373614, 3496550026, 31429887734, 282673677106, 2543086531454, 22882895970586, 205921649672774, 1853172776742466, 16677944639119694, 150098449994264746
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Jan 11 2009: (Start)
G.f.: 1/(1-5*x) + 1/(1-9*x).
E.g.f.: e^(5*x) + e^(9*x). (End)
a(n) = 14*a(n-1) - 45*a(n-2) with a(0)=2, a(1)=14. - Vincenzo Librandi, Jul 21 2010
MATHEMATICA
Table[5^n + 9^n, {n, 0, 20}]
LinearRecurrence[{14, -45}, {2, 14}, 20] (* Harvey P. Dale, Aug 02 2024 *)
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 26 2002
STATUS
approved