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A046518 Numbers with multiplicative persistence value 9. 3
26888999, 26889899, 26889989, 26889998, 26898899, 26898989, 26898998, 26899889, 26899898, 26899988, 26988899, 26988989, 26988998, 26989889, 26989898, 26989988, 26998889, 26998898, 26998988, 26999888, 28688999 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from Robert Israel)

Eric Weisstein's World of Mathematics, Multiplicative Persistence

EXAMPLE

26888999 -> [ 4478976 ][ 338688 ][ 27648 ][ 2688 ][ 768 ][ 336 ][ 54 ][ 20 ][ 0 ] -> one digit in nine steps.

MAPLE

mp:= proc(n) option remember;

    if n <= 9 then return 0 fi;

    1+procname(convert(convert(n, base, 10), `*`))

end proc:

filter:= proc(n)

  evalb(mp(convert(convert(n, base, 10), `*`))=8)

end proc:

select(filter, [$26111111..29999999]); # Robert Israel, Feb 12 2019

CROSSREFS

Cf. A003001, A014120, A046509.

Sequence in context: A205767 A086129 A121109 * A199999 A046509 A327281

Adjacent sequences:  A046515 A046516 A046517 * A046519 A046520 A046521

KEYWORD

nonn,easy,base

AUTHOR

Patrick De Geest, Sep 15 1998

EXTENSIONS

Offset corrected by Robert Israel, Feb 12 2019

STATUS

approved

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Last modified February 22 09:17 EST 2020. Contains 332133 sequences. (Running on oeis4.)