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 A006050 Smallest number of additive persistence n. (Formerly M4683) 12
 0, 10, 19, 199, 19999999999999999999999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The next term a(5) is 1 followed by 2222222222222222222222 9's. REFERENCES Meimaris Antonios, On the additive persistence of a number in base p, Preprint, 2015. H. J. Hindin, The additive persistence of a number, J. Rec. Math., 7 (No. 2, 1974), 134-135. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98. Eric Weisstein's World of Mathematics, Additive Persistence. FORMULA For n>1 a(n) = 2*10^((a(n-1)-1)/9)-1. MATHEMATICA lst = {0, 10}; Do[AppendTo[lst, 2*10^((lst[[-1]] - 1)/9) - 1], {3}]; lst (* Arkadiusz Wesolowski, Oct 17 2012 *) Join[{0}, NestList[2*10^((#-1)/9)-1&, 10, 3]] (* Harvey P. Dale, May 08 2020 *) CROSSREFS Cf. A003001, A031286, A045646. Sequence in context: A110463 A121725 A110368 * A045646 A334137 A212594 Adjacent sequences:  A006047 A006048 A006049 * A006051 A006052 A006053 KEYWORD nonn,base,nice AUTHOR STATUS approved

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Last modified October 30 20:11 EDT 2020. Contains 338090 sequences. (Running on oeis4.)