Search: id:A074535
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%I A074535
%S A074535 3,14,84,584,4368,33824,266304,2113664,16843008,134480384,1074791424,
%T A074535 8594130944,68736258048,549822930944,4398314962944,35185445863424,
%U A074535 281479271743488,2251816993685504,18014467229220864,144115462954287104
%N A074535 2^n + 4^n + 8^n.
%C A074535 Number of monic irreducible polynomials of degree 1 in GF(2^n)[x,y,z]. 
               - Max Alekseyev (maxale(AT)gmail.com), Jan 23 2006
%F A074535 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
%F A074535 G.f.: 1/(1-2*x)+1/(1-4*x)+1/(1-8*x). E.g.f.: e^(2*x)+e^(4*x)+e^(8*x). 
               [From Mohammad K. Azarian (azarian(AT)evansville.edu), Dec 26 2008]
%t A074535 Table[2^n + 4^n + 8^n, {n, 0, 20}]
%Y A074535 Cf. A001550, A001576, A034513, A001579, A074501 - A074580.
%Y A074535 Sequence in context: A103467 A121687 A154757 this_sequence A005700 A088717 
               A111538
%Y A074535 Adjacent sequences: A074532 A074533 A074534 this_sequence A074536 A074537 
               A074538
%K A074535 easy,nonn
%O A074535 0,1
%A A074535 Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 23 2002

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