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Search: id:A073098
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| A073098 |
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a(1)=2, a(n) is the smallest positive integer such that the continued fraction for 1/a(1)+1/a(2)+....+1/a(n) contains strictly more elements than the continued fraction for 1/a(1)+1/a(2)+....+1/a(n-1). |
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+0
1
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| 2, 3, 11, 2, 5, 6, 13, 17, 6, 2, 7, 11, 23, 18, 3, 8, 2, 73, 7, 31, 2, 22, 201, 71, 19, 29, 23, 19, 139, 59, 37, 43, 15, 263, 17, 131, 71, 16, 257, 6, 227, 363, 191, 83, 16, 113, 123, 234, 178, 457, 197, 106, 38, 8, 208, 173, 29, 895, 515, 313, 162, 808, 1996, 622, 274
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OFFSET
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1,1
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EXAMPLE
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The continued fraction for 1/a(1)+1/a(2)+1/a(3)+1/a(4) is [1, 2, 2, 1, 4] with 5 elements. The continued fraction for (1/2+1/3+1/11+1/2+1/5) is [1, 1, 1, 1, 1, 1, 20] which contains 7 elements and 5 is the smallest integer with this property, hence a(5)=5.
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CROSSREFS
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Sequence in context: A002443 A111788 A098929 this_sequence A046641 A083664 A083125
Adjacent sequences: A073095 A073096 A073097 this_sequence A073099 A073100 A073101
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 18 2002
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