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Search: id:A049805
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| A049805 |
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Triangular array T read by rows: T(n,k)=number of Farey fractions of order n that are <=1/k; k=1,2,...,n; n=1,2,3,... |
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11
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| 2, 3, 2, 5, 3, 2, 7, 4, 3, 2, 11, 6, 4, 3, 2, 13, 7, 5, 4, 3, 2, 19, 10, 7, 5, 4, 3, 2, 23, 12, 8, 6, 5, 4, 3, 2, 29, 15, 10, 8, 6, 5, 4, 3, 2, 33, 17, 12, 9, 7, 6, 5, 4, 3, 2, 43, 22, 15, 11, 9, 7, 6, 5, 4, 3, 2, 47, 24, 16, 12, 10, 8, 7, 6, 5, 4, 3, 2
(list; table; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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Rows: {2}; {3,2}; {5,3,2}; ...; e.g. in row 3, 5 reduced fractions (0/1,1/3,1/2,2/3,1/1) are <=1; 3 are <=1/2; 2 are <=1/3.
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CROSSREFS
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First column: T(n, 1)=a(n+1), where a=A005728.
Sequence in context: A054494 A112764 A108728 this_sequence A104887 A064886 A029600
Adjacent sequences: A049802 A049803 A049804 this_sequence A049806 A049807 A049808
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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)
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