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A074504
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a(n) = 1^n + 2^n + 8^n.
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0
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3, 11, 69, 521, 4113, 32801, 262209, 2097281, 16777473, 134218241, 1073742849, 8589936641, 68719480833, 549755822081, 4398046527489, 35184372121601, 281474976776193, 2251799813816321, 18014398509744129, 144115188076380161
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OFFSET
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0,1
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LINKS
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Table of n, a(n) for n=0..19.
Index entries for linear recurrences with constant coefficients, signature (11,-26,16).
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FORMULA
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From Mohammad K. Azarian, Dec 26 2008: (Start)
G.f.: 1/(1-x) + 1/(1-2*x) + 1/(1-8*x).
E.g.f.: e^x + e^(2*x) + e^(8*x). (End)
a(n) = 10*a(n-1) - 16*a(n-2) + 7 with a(0)=3, a(1)=11. - Vincenzo Librandi, Jul 21 2010
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MATHEMATICA
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Table[1^n + 2^n + 8^n, {n, 0, 20}]
LinearRecurrence[{11, -26, 16}, {3, 11, 69}, 20] (* Harvey P. Dale, Oct 17 2020 *)
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CROSSREFS
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Cf. A001550, A001576, A034513, A001579, A074501..A074580.
Sequence in context: A201259 A177008 A218923 * A126115 A018193 A121945
Adjacent sequences: A074501 A074502 A074503 * A074505 A074506 A074507
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KEYWORD
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easy,nonn
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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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