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Search: id:A091834
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| A091834 |
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Triangle read by rows: T(n,k) = maximum denominator in the Egyptian fraction representation that minimizes the maximum denominator of the k-th entry of row n of the triangle of numbers 1/2; 1/3, 2/3; 1/4, 2/4, 3/4; ... |
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+0
1
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| 2, 3, 6, 4, 2, 4, 5, 15, 10, 10, 6, 3, 2, 6, 3, 7, 21, 21, 14, 14, 21, 8, 4, 8, 2, 8, 4, 8, 9, 18, 3, 9, 18, 6, 9, 18, 10, 5, 10, 15, 2, 10, 5, 10, 15, 11, 44, 44, 33, 33, 22, 22, 44, 44, 33
(list; table; graph; listen)
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OFFSET
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0,1
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EXAMPLE
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The 47th position, corresponding to the fraction 2/11, has value 44 because 2/11=1/12+1/22+1/33+1/44, and there is no way of writing 2/11 as a sum of distinct unit fractions with all denominators less than 44.
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CROSSREFS
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Cf. A050210.
Sequence in context: A101401 A106834 A021427 this_sequence A050210 A003573 A111804
Adjacent sequences: A091831 A091832 A091833 this_sequence A091835 A091836 A091837
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KEYWORD
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nonn,tabl
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AUTHOR
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David Eppstein (eppstein(AT)ics.uci.edu), Mar 09 2004
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