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Search: id:A093594
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| A093594 |
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Farey-factorial numerators, including duplicates. |
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+0
3
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| 1, 1, 2, 2, 3, 4, 6, 6, 8, 12, 16, 18, 24, 24, 30, 40, 48, 60, 72, 80, 90, 96, 120, 120, 144, 180, 240, 288, 360, 432, 480, 540, 576, 600, 720, 720, 840, 1008, 1260, 1440, 1680, 2016, 2160, 2520, 2880, 3024, 3360, 3600, 3780, 4032, 4200, 4320, 5040, 5040, 5760
(list; graph; listen)
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OFFSET
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1,3
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COMMENT
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The only repeated terms are 1!, 2!, 3!, etc. Deleting one of each leaves A092824. When written as an array with (row n)=n!*(Farey fractions of order n), The row sums are given by A093593. The n-th alternating row sum is n!/2, for n>=2. (2/n!)*(nth row sum)=A005728(n)=number of Farey fractions of order n.
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EXAMPLE
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Put the positive Farey fractions of order n into row n,
and multiply by n!:
1
1 2
2 3 4 6
6 8 12 16 18 24 ...
Link the rows to form the sequence.
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CROSSREFS
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Cf. A005728, A092824, A093593.
Sequence in context: A087724 A101344 A046934 this_sequence A008806 A075465 A011868
Adjacent sequences: A093591 A093592 A093593 this_sequence A093595 A093596 A093597
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KEYWORD
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nonn,tabf
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), Apr 03 2004
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