

A010784


Numbers with distinct decimal digits.


37



0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 102, 103, 104, 105, 106, 107, 108, 109, 120
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OFFSET

1,3


COMMENTS

More than the usual number of terms are displayed in order to show the difference from some closelyrelated sequences.
Also: a(1) = 0; a(n) = Min{x integer  x > a(n1) and all digits to base 10 are distinct}.
a is finite: a(8877691) = 9876543210 is the last term; a(8877690) = 9876543201. The largest gap between two consecutive terms before a(249999) = 2409653 is 104691, as a(175289) = 1098765, a(175290) = 1203456.  Reinhard Zumkeller, Jun 23 2001
Complement of A109303.  David Wasserman, May 21 2008
A178788(a(n))=1; A178787(a(n))=n; A043537(a(n))=A055642(a(n)). [Reinhard Zumkeller, Jun 30 2010]
For the analogs in other bases b, search for "xenodromes." A001339(b1) is the number of base b xenodromes for b >= 2.  Rick L. Shepherd, Feb 16 2013
A107846(a(n)) = 0.  Reinhard Zumkeller, Jul 09 2013
A073531 gives the number of positive ndigit numbers in this sequence. Note that it does not count 0.  T. D. Noe, Jul 09 2013


LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000
Eric Weisstein's World of Mathematics, Digit


MAPLE

A010784:=proc(q) local a, b, c, n;
for n from 0 to q do a:=n; b:=[];
while a>0 do c:=a mod 10; b:=[op(b), c]; a:=trunc(a/10); od;
a:=nops(b); b:=nops({op(b)}); if ab=0 then print(n); fi;
od; end: A010784(10^4); # Paolo P. Lava, Apr 18 2013


MATHEMATICA

Select[Range[0, 100], Max[DigitCount[#]]==1&] (* Harvey P. Dale, Apr 04 2013 *)


PROG

(Haskell)
a010784 n = a010784_list !! (n1)
a010784_list = filter ((== 1) . a178788) [1..]
 Reinhard Zumkeller, Sep 29 2011
(PARI) is(n)=my(v=vecsort(digits(n))); v==vecsort(v, , 8) \\ Charles R Greathouse IV, Sep 17 2012


CROSSREFS

Subsequence of A043096.
Cf. A109303, A029743 (primes), A001339.
Sequence in context: A059543 A241158 A241157 * A052081 A031995 A023752
Adjacent sequences: A010781 A010782 A010783 * A010785 A010786 A010787


KEYWORD

nonn,base,fini


AUTHOR

N. J. A. Sloane.


EXTENSIONS

Offset changed to 1 and first comment adjusted by Reinhard Zumkeller, Jun 14 2010


STATUS

approved



