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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
See A007908 for a classic sequence of the same ilk.
Sequence in context: A255434 A206501 A183414 * A155205 A303444 A230244
KEYWORD
nonn,base,nice
AUTHOR
STATUS
approved

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Last modified March 19 06:32 EDT 2024. Contains 370953 sequences. (Running on oeis4.)