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A121111 Trajectory of 277777788888899 under "x -> product of digits of x" map. +0
2
277777788888899, 4996238671872, 438939648, 4478976, 338688, 27648, 2688, 768, 336, 54, 20, 0 (list; graph; listen)
OFFSET

1,1

COMMENT

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: A003811 A086439 A086440 this_sequence A080125 A082589 A011528

Adjacent sequences: A121108 A121109 A121110 this_sequence A121112 A121113 A121114

KEYWORD

nonn,fini,full

AUTHOR

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

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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