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A074565
a(n) = 4^n + 6^n + 7^n.
1
3, 17, 101, 623, 3953, 25607, 168401, 1119863, 7509953, 50693447, 343990001, 2344318103, 16034846753, 110016813287, 756855672401, 5218820236343, 36058335444353, 249574353301127, 1730042274055601, 12008529803290583
OFFSET
0,1
FORMULA
From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-4*x) + 1/(1-6*x) + 1/(1-7*x).
E.g.f.: exp(4*x) + exp(6*x) + exp(7*x). (End)
a(n) = 17*a(n-1) - 94*a(n-2) + 168*a(n-3); a(0)=3, a(1)=17, a(2)=101. - Harvey P. Dale, Jun 22 2013
MATHEMATICA
Table[4^n + 6^n + 7^n, {n, 0, 20}]
LinearRecurrence[{17, -94, 168}, {3, 17, 101}, 30] (* Harvey P. Dale, Jun 22 2013 *)
PROG
(Magma) [4^n + 6^n + 7^n: n in [0..20]]; // Vincenzo Librandi, Aug 25 2011
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Robert G. Wilson v, Aug 23 2002
STATUS
approved