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A074556
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3^n + 6^n + 8^n.
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1
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3, 17, 109, 755, 5473, 40787, 309529, 2379275, 18463393, 144315107, 1134267049, 8952908795, 70896790513, 562818102227, 4476415458169, 35654571422315, 284296129664833, 2268726602270147, 18115958853570889, 144724548978127835
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OFFSET
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0,1
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..300
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FORMULA
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G.f.: 1/(1-3*x)+1/(1-6*x)+1/(1-8*x). E.g.f.: e^(3*x)+e^(6*x)+e^(8*x). [From Mohammad K. Azarian, Dec 30 2008]
a(0)=3, a(1)=17, a(2)=109, a(n)=17*a(n-1)-90*a(n-2)+144*a(n-3) [From Harvey P. Dale, May 19 2011]
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MATHEMATICA
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Table[3^n + 6^n + 8^n, {n, 0, 20}]
LinearRecurrence[{17, -90, 144}, {3, 17, 109}, 21] (* From Harvey P. Dale, May 19 2011 *)
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PROG
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(MAGMA) [3^n + 6^n + 8^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011
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CROSSREFS
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Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A123772 A212524 A103730 * A215048 A119259 A174404
Adjacent sequences: A074553 A074554 A074555 * A074557 A074558 A074559
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KEYWORD
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easy,nonn
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AUTHOR
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Robert G. Wilson v, Aug 23 2002
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STATUS
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approved
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