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A141837
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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 3 so that each interpretation is base 4. 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 possible to compute additional terms by taking the last term, treating it as base-10 and converting to base-4. 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 13023002000203 as a possible next term.
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EXAMPLE
| a(3) = 133 because 133 is the first number that can produce a sequence of three terms by repeated interpetation as a base 4 number: [133] (base-4) --> [31] (base-4) --> [13] (base-4) --> [7]. Since 7 cannot be interpretted as a base 4 number, the sequence terminates with 13. a(1) = 13 because 13 is the first number that can be reduced once, yielding no further terms interprettable as base 4.
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CROSSREFS
| Cf. A091049, A141836, A141838, A141839, A141840, A141841, A141842.
Sequence in context: A179034 A179035 A007628 * A104151 A023304 A180757
Adjacent sequences: A141834 A141835 A141836 * A141838 A141839 A141840
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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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