%I A141841
%S A141841 17,57,71,107,4647,11047,25447,61547,170153,115751335,671434647
%N A141841 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 7 so that each interpretation is base 8. Terms 
               already fully reduced (i.e. single digits) are excluded.
%C A141841 It is sometimes possible to compute additional terms by taking the last 
               term, treating it as base 10 and converting to base 8. This may create 
               a term minimally interprettable as base 8 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 produces the value 5001243627 which 
               is minimally interprettable as base 8.
%e A141841 a(3) = 71 because 71 is the first number that can produce a sequence 
               of three terms by repeated interpetation as a base 8 number: [71] 
               (base-8) --> [57] (base-8) --> [47] (base-8) --> [39]. Since 39 cannot 
               be minimally interpretted as a base 8 number, the sequence terminates 
               with 47. a(1) = 17 because 17 is the first number that can be reduced 
               once, yielding no further terms minimally interprettable as base 
               8.
%Y A141841 Cf. A091049, A141836, A141837, A141838, A141839, A141840, A141842.
%Y A141841 Sequence in context: A072895 A097059 A117390 this_sequence A146682 A146650 
               A147131
%Y A141841 Adjacent sequences: A141838 A141839 A141840 this_sequence A141842 A141843 
               A141844
%K A141841 base,more,nonn
%O A141841 1,1
%A A141841 Chuck Seggelin (seqfan(AT)plastereddragon.com), Jul 10 2008