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A074546
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
| 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). [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 28 2008]
a(n) = +19*a(n-1) -106*a(n-2) +144*a(n-3)
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MATHEMATICA
| Table[2^n + 8^n + 9^n, {n, 0, 20}]
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PROG
| (MAGMA) [ 2^n + 8^n + 9^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011
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CROSSREFS
| Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A073516 A005258 A131551 * A054316 A006289 A120590
Adjacent sequences: A074543 A074544 A074545 * A074547 A074548 A074549
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KEYWORD
| easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2002
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