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A155646
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a(n) = 8^n + 6^n - 1.
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22
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1, 13, 99, 727, 5391, 40543, 308799, 2377087, 18456831, 144295423, 1134207999, 8952731647, 70896259071, 562816507903, 4476410675199, 35654557073407, 284296086618111, 2268726473129983, 18115958466150399, 144724547815866367
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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/(1-8*x)+1/(1-6*x)-1/(1-x). E.g.f.: e^(8*x)+e^(6*x)-e^x.
a(0)=1, a(1)=13, a(2)=99, a(n) = 15*a(n-1)-62*a(n-2)+48*a(n-3). [Harvey P. Dale, Jul 17 2011]
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MATHEMATICA
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Table[8^n+6^n-1, {n, 0, 20}] (* or *) LinearRecurrence[{15, -62, 48}, {1, 13, 99}, 20] (* Harvey P. Dale, Jul 17 2011 *)
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PROG
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CROSSREFS
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Cf. A155628, A155629, A155630, A155631, A155632, A155633, A155634, A155635, A155636, A155637, A155638, A155639, A155640, A155641, A155642, A155643, A155644, A155645.
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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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