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Search: id:A072717
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| A072717 |
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Let d(k) be the sequence whose values are in (1,2,3,4,5,6,7,8,9) and are such that the continued fraction for the decimal number D(n)=0.d(1)d(2)...d(n) has strictly more elements than the continued fraction for D(n-1)=0.d(1)d(2)...d(n-1) and d(n) is as small as possible. Sequence gives values of d(n)=a(n) for d(1)=1. |
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+0
1
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| 1, 2, 3, 4, 7, 3, 1, 7, 7, 1, 1, 3, 7, 1, 2, 2, 7
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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The continued fraction for D(3) = 0.123 is [0, 8, 7, 1, 2, 5] with 6 elements the continued fraction for 0.1234 is [0, 8, 9, 1, 1, 1, 3, 1, 1, 2] with 10 elements > 6 and 4 is the smallest number in (1,2,3,4,5,6,7,8,9), hence d(4)=a(4)=4.
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CROSSREFS
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Sequence in context: A029962 A021903 A058315 this_sequence A139072 A021430 A138676
Adjacent sequences: A072714 A072715 A072716 this_sequence A072718 A072719 A072720
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KEYWORD
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fini,full,nonn
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 07 2002
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