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Search: id:A118975
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| A118975 |
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Triangular array: row n consists of M times nth-order Farey fractions, where M is LCM of their denominators. |
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+0
1
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| 1, 1, 2, 2, 3, 4, 6, 3, 4, 6, 8, 9, 12, 12, 15, 20, 24, 30, 36, 40, 45, 48, 60, 10, 12, 15, 20, 24, 30, 36, 40, 45, 48, 50, 60, 60, 70, 84, 105, 120, 140, 168, 180, 210, 240, 252, 280, 300, 315, 336, 350, 360, 420, 105, 120, 140, 168, 210, 240
(list; table; graph; listen)
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OFFSET
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1,3
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COMMENT
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The multiplier M(n)=A003418(n). Column 1 is A002944(n) = (1/n)LCM(1,2,...,n). The numbers in row n are relatively prime (unlike the related array A093594).
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EXAMPLE
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First 5 rows:
1
1 2
2 3 4 6
3 4 6 8 9 12
12 15 20 24 30 36 40 45 48 60.
Row 4 is 12*(1/4, 1/3, 1/2, 2/3, 3/4, 1).
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CROSSREFS
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Cf. A003418.
Sequence in context: A060407 A074077 A078381 this_sequence A087724 A152047 A101344
Adjacent sequences: A118972 A118973 A118974 this_sequence A118976 A118977 A118978
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), May 07 2006
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