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A121111 Trajectory of 277777788888899 under "x -> product of digits of x" map. 1
277777788888899, 4996238671872, 438939648, 4478976, 338688, 27648, 2688, 768, 336, 54, 20, 0 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

This is the smallest number of persistence 11 (cf. A003001). It is conjectured that no number has persistence greater than 11.

LINKS

N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.

FORMULA

a(n)=A121110(n-1), n>=3. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 07 2008]

CROSSREFS

Cf. A003001.

Sequence in context: A086439 A086440 A172596 * A179660 A080125 A204350

Adjacent sequences:  A121108 A121109 A121110 * A121112 A121113 A121114

KEYWORD

nonn,fini,full,base

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Aug 12 2006

EXTENSIONS

Edited by Charles R Greathouse IV (charles.greathouse(AT)case.edu), Aug 05 2010

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Last modified February 16 06:08 EST 2012. Contains 205860 sequences.