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A074553
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3^n + 5^n + 8^n.
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1
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3, 16, 98, 664, 4802, 36136, 278498, 2177464, 17174402, 136190536, 1083566498, 8638939864, 68964148802, 550978111336, 4404154809698, 35214904015864, 281627607648002, 2252562882278536, 18018213594168098, 144134262724445464
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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..200
Index entries for linear recurrences with constant coefficients, signature (16,-79,120).
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FORMULA
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G.f.: 1/(1-3*x)+1/(1-5*x)+1/(1-8*x). E.g.f.: exp(3*x)+exp(5*x)+exp(8*x). [From Mohammad K. Azarian, Dec 30 2008]
a(n) = +16*a(n-1) -79*a(n-2) +120*a(n-3)
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MATHEMATICA
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Table[3^n + 5^n + 8^n, {n, 0, 20}]
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PROG
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(MAGMA) [3^n + 5^n + 8^n: n in [0..30]]; // Vincenzo Librandi, Jun 13 2011
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CROSSREFS
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Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A157051 A000271 A157016 * A193037 A091641 A137572
Adjacent sequences: A074550 A074551 A074552 * A074554 A074555 A074556
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KEYWORD
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easy,nonn,changed
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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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