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A362626
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a(n) is the smallest number of 1's used in expressing n as a calculation containing only decimal repunits and operators +, -, * and /, where fractions are allowed as intermediate results.
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4
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1, 2, 3, 4, 5, 5, 6, 5, 4, 3, 2, 3, 4, 5, 6, 7, 7, 6, 6, 5, 5, 4, 5, 5, 6, 6, 7, 7, 7, 6, 7, 6, 5, 6, 7, 6, 6, 7, 7, 7, 8, 7, 7, 6, 7, 7, 8, 7, 8, 7, 8, 8, 8, 7, 6, 6, 7, 8, 8, 7, 7, 8, 8, 8, 8, 7, 8, 8, 8, 9, 9, 8, 8, 7, 8, 9, 8, 8, 9, 8, 8, 9, 10, 9, 9, 9, 8, 7, 7
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OFFSET
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1,2
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COMMENTS
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a(n+1) <= a(n) + 1.
a(n) <= a(i) + a(j), for all i O j = n, for O = +, -, *, /.
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LINKS
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EXAMPLE
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a(74) = 7, since 74 = 111/(1+(1/(1+1)).
a(111) = 3.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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