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A155610
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5^n - 3^n + 1.
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10
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1, 3, 17, 99, 545, 2883, 14897, 75939, 384065, 1933443, 9706577, 48650979, 243609185, 1219108803, 6098732657, 30503229219, 152544843905, 762810312963, 3814309845137, 19072324066659, 95363944856225, 476826697849923
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OFFSET
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0,2
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LINKS
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FORMULA
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G.f.: 1/(1-5*x)-1/(1-3*x)+1/(1-x).
E.g.f.: e^(5*x)-e^(3*x)+e^x.
a(0)=1, a(1)=3, a(2)=17, a(n)=9*a(n-1)-23*a(n-2)+15*a(n-3). - Harvey P. Dale, Jan 06 2012
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MATHEMATICA
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Table[5^n-3^n+1, {n, 0, 30}] (* or *) LinearRecurrence[{9, -23, 15}, {1, 3, 17}, 31] (* Harvey P. Dale, Jan 06 2012 *)
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PROG
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CROSSREFS
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Cf. A155596, A155597, A155598, A155599, A155600, A155601, A155602, A155603, A155604, A155605, A155606, A155607, A155608, A155609.
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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