Search: id:A064235
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%I A064235
%S A064235 1,3,3,9,9,9,9,9,9,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,
%T A064235 27,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,
%U A064235 81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81,81
%N A064235 Let A_n be the upper triangular matrix in the group GL(n,3) of invertible 
               n X n matrices over GF(3) that has zero entries below the diagonal 
               and 1 elsewhere. For example for n=4 the matrix is / 1,1,1,1 / 0,
               1,1,1 / 0,0,1,1 / 0,0,0,1 /. a(n) is the order of this matrix as 
               an element of GL(n,3).
%C A064235 For n>1 a(n) is the smallest integer such that gcd(a(n),2^a(n)+1)>=n 
               - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 21 2002
%F A064235 a(n) the smallest power of 3 that is greater than or equal to n.
%p A064235 a := proc(n) option remember: if n=0 then RETURN(1) fi: 3*a(floor(n/3)); 
               end: for n from 0 to 150 do printf(`%d,`,a(n)) od:
%Y A064235 A062383.
%Y A064235 Sequence in context: A065483 A019745 A155686 this_sequence A098355 A107443 
               A062234
%Y A064235 Adjacent sequences: A064232 A064233 A064234 this_sequence A064236 A064237 
               A064238
%K A064235 nonn
%O A064235 1,2
%A A064235 Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Sep 22 2001
%E A064235 More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 26 2001

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