A097804 a(n) = 3*(2*5^n + 1).
9, 33, 153, 753, 3753, 18753, 93753, 468753, 2343753, 11718753, 58593753, 292968753, 1464843753, 7324218753, 36621093753, 183105468753, 915527343753, 4577636718753, 22888183593753, 114440917968753, 572204589843753, 2861022949218753, 14305114746093753
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (6, -5).
Programs
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Magma
[3*(2*5^n+1) : n in [0..30]]; // Wesley Ivan Hurt, Aug 16 2016
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Maple
A097804:=n->3*(2*5^n+1): seq(A097804(n), n=0..30); # Wesley Ivan Hurt, Aug 16 2016
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Mathematica
Table[3(2*5^n + 1), {n, 0, 20}] (* Robert G. Wilson v, Aug 26 2004 *) LinearRecurrence[{6,-5}, {9,33}, 30] (* Harvey P. Dale, Dec 17 2012 *) 6*5^Range[0, 30] + 3 (* Wesley Ivan Hurt, Aug 16 2016 *)
Formula
a(0)=9, a(1)=33, a(n) = 6*a(n-1) - 5*a(n-2) for n > 1. - Harvey P. Dale, Dec 17 2012
G.f.: 3*(3-7*x)/((1-x)*(1-5*x)). - Wesley Ivan Hurt, Aug 16 2016
Extensions
More terms from Robert G. Wilson v and Mark Hudson (mrmarkhudson(AT)hotmail.com), Aug 26 2004