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 A002782 Concatenate the natural numbers, then partition into minimal strings so that each term divides the next. (Formerly M2157 N0859) 4
 1, 2, 34, 5678, 9101112131415161718192021222324252627282930313233343536 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS What is the next term? (See A263623.) a(6), if it exists, has more than 5888833 digits. - Lars Blomberg, Dec 01 2016 REFERENCES Letter from the editor, J. Rec. Math., 3 (1970), 40-41. N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Editor, J. Recreational Math., Letter, J. Rec. Math., 3 (1970), 40-41. [Annotated scanned copy] EXAMPLE 1 divides 2 divides 34 divides 5678 divides 9101112131415161718192021222324252627282930313233343536. PROG (Haskell) a002782 n = a002782_list !! (n-1) a002782_list = f 1 1 (map toInteger \$ tail a007376_list) where f x y (d:ds) | mod y x == 0 = y : f y d ds | otherwise = f x (10*y + d) ds -- Reinhard Zumkeller, Dec 17 2011 CROSSREFS Cf. A007376, A258227, A263623. See A007908 for a classic sequence of the same ilk. Sequence in context: A255434 A206501 A183414 * A155205 A303444 A230244 Adjacent sequences: A002779 A002780 A002781 * A002783 A002784 A002785 KEYWORD nonn,base,nice AUTHOR STATUS approved

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Last modified March 29 09:20 EDT 2023. Contains 361598 sequences. (Running on oeis4.)