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A074578
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a(n) = 6^n + 7^n + 9^n.
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1
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3, 22, 166, 1288, 10258, 83632, 695746, 5886448, 50491138, 437851792, 3829725826, 33721183408, 298447606018, 2651815532752, 23633379691906, 211108878589168, 1889074229328898, 16926738873098512, 151824608851577986
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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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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..300
Index entries for linear recurrences with constant coefficients, signature (22,-159,378).
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FORMULA
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From Mohammad K. Azarian, Dec 30 2008: (Start)
G.f.: 1/(1-6*x) + 1/(1-7*x) + 1/(1-9*x).
E.g.f.: e^(6*x) + e^(7*x) + e^(9*x). (End)
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MATHEMATICA
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Table[6^n + 7^n + 9^n, {n, 0, 20}]
LinearRecurrence[{22, -159, 378}, {3, 22, 166}, 20] (* Harvey P. Dale, Sep 26 2016 *)
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PROG
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(MAGMA) [6^n + 7^n + 9^n: n in [0..20]]; // Vincenzo Librandi, May 20 2011
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CROSSREFS
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Cf. A001550, A001576, A034513, A001579, A074501-A074580.
Sequence in context: A218668 A164021 A192365 * A290719 A074576 A077244
Adjacent sequences: A074575 A074576 A074577 * A074579 A074580 A074581
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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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