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A074603
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a(n) = 2^n + 8^n.
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4
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2, 10, 68, 520, 4112, 32800, 262208, 2097280, 16777472, 134218240, 1073742848, 8589936640, 68719480832, 549755822080, 4398046527488, 35184372121600, 281474976776192, 2251799813816320, 18014398509744128, 144115188076380160
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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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a(n) = 8*a(n-1) - 2^n = 10*a(n-1) - 16*a(n-2).
G.f.: 1/(1-2*x) + 1/(1-8*x).
E.g.f.: e^(2*x) + e^(8*x). (End)
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MATHEMATICA
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Table[2^n + 8^n, {n, 0, 25}]
LinearRecurrence[{10, -16}, {2, 10}, 30] (* Harvey P. Dale, Jan 23 2015 *)
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PROG
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CROSSREFS
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Cf. A000051, A034472, A052539, A034474, A062394, A034491, A062395, A062396, A007689, A063376, A063481, A074600 - A074624.
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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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