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URL: https://oeis.org/A062508

⇱ A062508 - OEIS

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A062508
a(n) = 3^(2*n) + 7.
1
8, 16, 88, 736, 6568, 59056, 531448, 4782976, 43046728, 387420496, 3486784408, 31381059616, 282429536488, 2541865828336, 22876792454968, 205891132094656, 1853020188851848, 16677181699666576, 150094635296999128, 1350851717672992096, 12157665459056928808
OFFSET
0,1
REFERENCES
David M. Burton, Elementary Number Theory, Allyn and Bacon, Inc. Boston, MA, 1976, p. 29.
FORMULA
a(n) = 10*a(n-1) - 9*a(n-2), a(0)=8, a(1)=16. - Harvey P. Dale, May 13 2012
From Elmo R. Oliveira, Nov 11 2025: (Start)
a(n) = 8*A047854(n).
G.f.: 8*(1-8*x)/((1-x)*(1-9*x)).
E.g.f.: (exp(8*x) + 7)*exp(x). (End)
MAPLE
A062508:=n->3^(2*n)+7: seq(A062508(n), n=0..30); # Wesley Ivan Hurt, Feb 11 2017
MATHEMATICA
3^(2Range[0, 20])+7 (* or *) LinearRecurrence[{10, -9}, {8, 16}, 20] (* Harvey P. Dale, May 13 2012 *)
CROSSREFS
Cf. A047854.
Sequence in context: A271080 A117868 A291001 * A083086 A230930 A080452
KEYWORD
easy,nonn
AUTHOR
Jason Earls, Jun 24 2001
STATUS
approved