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A002782 Concatenate the natural numbers, then partition into minimal strings so that each term divides the next.
(Formerly M2157 N0859)
1
1, 2, 34, 5678, 9101112131415161718192021222324252627282930313233343536 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

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).

PROG

(Haskell)

a002782 n = a002782_list !! (n-1)

a002782_list = f 1 1 (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.

Sequence in context: A165938 A206501 A183414 * A155205 A045529 A041012

Adjacent sequences:  A002779 A002780 A002781 * A002783 A002784 A002785

KEYWORD

nonn,base,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 15 14:57 EST 2012. Contains 205823 sequences.