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A074546
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a(n) = 2^n + 8^n + 9^n.
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1
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3, 19, 149, 1249, 10673, 91849, 793649, 6880249, 59824193, 521638729, 4560527249, 39970996249, 351149017313, 3091621650409, 27274838982449, 241075504216249, 2134495165628033, 18928981513482889, 168109033806743249
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OFFSET
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0,1
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LINKS
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FORMULA
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G.f.: 1/(1-2*x) + 1/(1-8*x) + 1/(1-9*x).
E.g.f.: exp(2*x) + exp(8*x) + exp(9*x). (End)
a(n) = 19*a(n-1) - 106*a(n-2) + 144*a(n-3).
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MATHEMATICA
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Table[2^n + 8^n + 9^n, {n, 0, 20}]
LinearRecurrence[{19, -106, 144}, {3, 19, 149}, 20] (* Harvey P. Dale, May 31 2013 *)
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PROG
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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