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Search: id:A141836
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| A141836 |
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a(n) = first term that can be reduced in n steps via repeated interpretation of a(n) as a base b+1 number where b is the largest digit of a(n), such that b is always 2 so that each interpretation is base 3. Terms already fully reduced (i.e. single digits) are excluded. |
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+0
7
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OFFSET
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1,1
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COMMENT
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It is possible to compute additional terms by taking the last term, treating it as base-10 and converting to base-3. This will necessarily create a term which can converted back to base 10 yielding the previous term in the sequence which will itself yield N further terms. But there is no guarantee (except in base 2) that the term so derived will be the first term to produce a sequence of N+1 terms. There could be another, smaller, term which satisfies that requirement but which uses different terms. Pushing the last term of this sequence yields 2120202222022022102 as a possible next term.
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EXAMPLE
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a(3) = 21111 because 21111 is the first number that can produce a sequence of three terms by repeated interpetation as a base 3 number: [21111] (base-3) --> [202] (base-3) --> [20] (base-3) --> [6]. Since 6 cannot be interpretted as a base 3 number, the sequence terminates with 20. a(1) = 12 because 12 is the first number that can be reduced once, yielding no further terms interprettable as base 3.
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CROSSREFS
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Cf. A091049, A141837, A141838, A141839, A141840, A141841, A141842.
Sequence in context: A119864 A036240 A133242 this_sequence A083932 A080316 A108020
Adjacent sequences: A141833 A141834 A141835 this_sequence A141837 A141838 A141839
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KEYWORD
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base,more,nonn
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AUTHOR
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Chuck Seggelin (seqfan(AT)plastereddragon.com), Jul 10 2008
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