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A118975
Triangular array: row n consists of M times n-th-order Farey fractions, where M is the LCM of their denominators.
0
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
OFFSET
1,3
COMMENTS
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).
EXAMPLE
Row 4 is 12*(1/4, 1/3, 1/2, 2/3, 3/4, 1).
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.
CROSSREFS
Cf. A003418.
Sequence in context: A083702 A074077 A078381 * A215644 A288777 A343503
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, May 07 2006
STATUS
approved