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A118975 Triangular array: row n consists of M times nth-order Farey fractions, where M is 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 (list; table; graph; refs; listen; history; internal format)
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

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).

CROSSREFS

Cf. A003418.

Sequence in context: A060407 A074077 A078381 * A087724 A152047 A101344

Adjacent sequences:  A118972 A118973 A118974 * A118976 A118977 A118978

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), May 07 2006

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.