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A074539
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a(n) = 2^n + 5^n + 8^n.
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1
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3, 15, 93, 645, 4737, 35925, 277833, 2175405, 17168097, 136171365, 1083508473, 8638764765, 68963621457, 550976525205, 4404150043113, 35214889699725, 281627564666817, 2252562753269445, 18018213207009753, 144134261562708285
(list;
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listen;
history;
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internal format)
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OFFSET
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0,1
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REFERENCES
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D. Suprijanto, I. W. Suwarno, Observation on Sums of Powers of Integers Divisible by 3k-1, Applied Mathematical Sciences, Vol. 8, 2014, no. 45, 2211 - 2217; http://dx.doi.org/10.12988/ams.2014.4139.
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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 (15,-66,80).
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FORMULA
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From Mohammad K. Azarian, Dec 27 2008: (Start)
G.f.: 1/(1-2*x) + 1/(1-5*x) + 1/(1-8*x).
E.g.f.: exp(2*x) + exp(5*x) + exp(8*x). (End)
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MATHEMATICA
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Table[2^n + 5^n + 8^n, {n, 0, 20}]
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PROG
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(MAGMA) [2^n + 5^n + 8^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011
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CROSSREFS
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Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A002893 A256335 A258313 * A103210 A203014 A060066
Adjacent sequences: A074536 A074537 A074538 * A074540 A074541 A074542
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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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