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A074535
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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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Number of monic irreducible polynomials of degree 1 in GF(2^n)[x,y,z]. - Max Alekseyev (maxale(AT)gmail.com), Jan 23 2006
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..200
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FORMULA
| 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). [From Mohammad K. Azarian (azarian(AT)evansville.edu), 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 (pbarry(AT)wit.ie), Sep 18 2004
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MATHEMATICA
| Table[2^n + 4^n + 8^n, {n, 0, 20}]
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PROG
| (MAGMA) [2^n + 4^n + 8^n: n in [0..25]]; // Vincenzo Librandi, Jun 11 2011
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CROSSREFS
| Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
Sequence in context: A103467 A121687 A154757 * A190761 A005700 A088717
Adjacent sequences: A074532 A074533 A074534 * A074536 A074537 A074538
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KEYWORD
| easy,nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2002
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