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A161750 Numbers n such that the decimal digits of 123456789*n are all distinct. 2
0, 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 16, 17, 20, 22, 23, 25, 26, 31, 32, 34, 35, 40, 41, 43, 44, 50, 52, 53, 61, 62, 70, 71, 80 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..34.

David Wolfe, When Multiplication Mixes Up Digits, Mathematics Magazine, Volume 80, Number 5, December 2007, pp.380-383

MAPLE

a := proc (n) local nn, nnn: nn := convert(123456789*n, base, 10): nnn := convert(nn, set): if nops(nn) = nops(nnn) then n else end if end proc: seq(a(n), n = 1 .. 80); # Emeric Deutsch, Jun 21 2009

MATHEMATICA

m=123456789; se=Select[Range[0, 99], Sort[id=IntegerDigits[m*# ]]==Union[id]&] (* Zak Seidov, Nov 04 2009 *)

Select[Range[0, 100], Max[DigitCount[123456789#]]==1&] (* Harvey P. Dale, Jun 02 2017 *)

CROSSREFS

Cf. A053654. [From Zak Seidov, Nov 04 2009]

Sequence in context: A003253 A119905 A213219 * A249400 A226896 A175302

Adjacent sequences:  A161747 A161748 A161749 * A161751 A161752 A161753

KEYWORD

easy,fini,full,nonn,base

AUTHOR

Kyle Stern, Jun 17 2009

EXTENSIONS

a(1)=0 added by Zak Seidov, Nov 04 2009

Edited by Charles R Greathouse IV, Aug 02 2010

STATUS

approved

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Last modified October 20 20:24 EDT 2019. Contains 328273 sequences. (Running on oeis4.)