A198646 a(n) = 11*3^n-1.
10, 32, 98, 296, 890, 2672, 8018, 24056, 72170, 216512, 649538, 1948616, 5845850, 17537552, 52612658, 157837976, 473513930, 1420541792, 4261625378, 12784876136, 38354628410, 115063885232, 345191655698, 1035574967096, 3106724901290
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..1000
- Index entries for linear recurrences with constant coefficients, signature (4,-3).
Programs
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Magma
[11*3^n-1: n in [0..30]]
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Mathematica
11*3^Range[0, 30] - 1 (* Wesley Ivan Hurt, Oct 02 2021 *)
Formula
a(n) = 3*a(n-1)+2, a(0)=10.
G.f.: (10-8*x) / ((3*x-1)*(x-1)). - R. J. Mathar, Oct 30 2011
a(n) = 4*a(n-1)-3*a(n-2). - Wesley Ivan Hurt, Oct 02 2021
a(n) = 2*A052909(n+1). - R. J. Mathar, Apr 07 2022