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A074535
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a(n) = 2^n + 4^n + 8^n.
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2
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3, 14, 84, 584, 4368, 33824, 266304, 2113664, 16843008, 134480384, 1074791424, 8594130944, 68736258048, 549822930944, 4398314962944, 35185445863424, 281479271743488, 2251816993685504, 18014467229220864, 144115462954287104
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OFFSET
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0,1
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COMMENTS
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Number of monic irreducible polynomials of degree 1 in GF(2^n)[x,y,z]. - Max Alekseyev, Jan 23 2006
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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 (14,-56,64).
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FORMULA
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G.f.: 1/(1-2*x)+1/(1-4*x)+1/(1-8*x). E.g.f.: exp(2*x)+exp(4*x)+exp(8*x). [Mohammad K. Azarian, Dec 26 2008]
Let A=[1, 1, 1;2, 0, -2;1, -1, 1], the 3 X 3 Krawtchouk matrix. Then a(n)=trace((A*A')^n). - Paul Barry, Sep 18 2004
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MATHEMATICA
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Table[2^n + 4^n + 8^n, {n, 0, 20}]
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PROG
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(MAGMA) [2^n + 4^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: A220910 A121687 A154757 * A256337 A256330 A190761
Adjacent sequences: A074532 A074533 A074534 * A074536 A074537 A074538
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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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