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A002782
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Concatenate the natural numbers, then partition into minimal strings so that each term divides the next.
(Formerly M2157 N0859)
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4
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OFFSET
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1,2
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COMMENTS
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What is the next term? (See A263623.)
a(6), if it exists, has more than 5888833 digits. - Lars Blomberg, Dec 01 2016
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REFERENCES
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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).
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LINKS
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Table of n, a(n) for n=1..5.
Editor, J. Recreational Math., Letter, J. Rec. Math., 3 (1970), 40-41. [Annotated scanned copy]
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EXAMPLE
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1 divides 2 divides 34 divides 5678 divides 9101112131415161718192021222324252627282930313233343536.
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PROG
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(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
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CROSSREFS
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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
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KEYWORD
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nonn,base,nice
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AUTHOR
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N. J. A. Sloane
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STATUS
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approved
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