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A064235
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The smallest power of 3 that is greater than or equal to n.
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2
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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, 27, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81, 81
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| 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).
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
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MAPLE
| A064235 := proc(n)
ceil(log(n)/log(3)) ;
3^% ;
end proc: # R. J. Mathar, Nov 06 2011
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CROSSREFS
| A062383.
Sequence in context: A188615 A155686 A201456 * A098355 A183429 A107443
Adjacent sequences: A064232 A064233 A064234 * A064236 A064237 A064238
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KEYWORD
| nonn
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AUTHOR
| Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Sep 22 2001
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EXTENSIONS
| More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 26 2001
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