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A141839
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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 5 so that each interpretation is base 6. Terms already fully reduced (i.e. single digits) are excluded.
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6
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OFFSET
| 1,1
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COMMENTS
| It is sometimes possible to compute additional terms by taking the last term, treating it as base 10 and converting to base 6. This may create a term minimally interprettable as base 6 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 does not produce a value minimally interprettable as base 6.
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EXAMPLE
| a(3) = 325 because 325 is the first number that can produce a sequence of three terms by repeated interpetation as a base 6 number: [325] (base-6) --> [125] (base-6) --> [53] (base-6) --> [33]. Since 33 cannot be interpretted as a base 6 number, the sequence terminates with 53. a(1) = 15 because 15 is the first number that can be reduced once, yielding no further terms minimally interprettable as base 6.
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CROSSREFS
| Cf. A091049, A141836, A141837, A141838, A141840, A141841, A141842.
Sequence in context: A119134 A119658 A072745 * A080698 A082235 A104724
Adjacent sequences: A141836 A141837 A141838 * A141840 A141841 A141842
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KEYWORD
| base,more,nonn
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AUTHOR
| Chuck Seggelin (seqfan(AT)plastereddragon.com), Jul 10 2008
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