A083330 a(n) = (3*4^n - 2*3^n + 2^n)/2.
1, 4, 17, 73, 311, 1309, 5447, 22453, 91871, 373789, 1514327, 6115333, 24636431, 99073069, 397878407, 1596280213, 6399436991, 25640729149, 102691925687, 411154861093, 1645781181551, 6586610462029, 26356900104167
Offset: 0
Links
- Index entries for linear recurrences with constant coefficients, signature (9, -26, 24).
Crossrefs
Cf. A083331.
Programs
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Mathematica
Table[(3 4^n-2 3^n+2^n)/2,{n,0,30}] (* Harvey P. Dale, Mar 14 2011 *)
Formula
a(n) = (3*4^n - 2*3^n + 2^n)/2.
G.f.: (1-5x+7x^2)/(2(1-2x)(1-3x)(1-4x)).
E.g.f.: (3*exp(4x) - 2*exp(3x) + exp(2x))/2.
Comments