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Search: id:A064235
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| A064235 |
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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). |
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+0
1
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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; listen)
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OFFSET
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1,2
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COMMENT
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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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FORMULA
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a(n) the smallest power of 3 that is greater than or equal to n.
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MAPLE
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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:
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CROSSREFS
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A062383.
Sequence in context: A065483 A019745 A155686 this_sequence A098355 A107443 A062234
Adjacent sequences: A064232 A064233 A064234 this_sequence A064236 A064237 A064238
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KEYWORD
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nonn
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AUTHOR
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Dan Fux (dan.fux(AT)OpenGaia.com or danfux(AT)OpenGaia.com), Sep 22 2001
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Sep 26 2001
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