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A010784 Numbers with distinct digits. 15
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 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

COMMENTS

Also: a(1) = 0; a(n) = Min{x integer | x > a(n-1) and all digits to base 10 are distinct}.

a is finite: a(8877690) = 9876543210 is the last term; a(8877689) = 9876543201. The largest gap between two consecutive terms before a(250000) = 2409653 is 104691, as a(175290) = 1098765, a(175291) = 1203456. - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 23 2001

Complement of A109303. - David Wasserman (dwasserm(AT)earthlink.net), May 21 2008

A178788(a(n))=1; A178787(a(n))=n; A043537(a(n))=A055642(a(n)). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 30 2010]

LINKS

R. Zumkeller, Table of n, a(n) for n = 1..10000 [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 30 2010]

Eric Weisstein's World of Mathematics, Digit

PROG

(Haskell)

a010784 n = a010784_list !! (n-1)

a010784_list = filter ((== 1) . a178788) [1..]

-- Reinhard Zumkeller, Sep 29 2011

CROSSREFS

Cf. A109303.

Cf. A029743 (primes).

Sequence in context: A136002 A043096 A160542 * A059543 A052081 A031995

Adjacent sequences:  A010781 A010782 A010783 * A010785 A010786 A010787

KEYWORD

nonn,base,fini

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

Offset changed to 1 and first comment adjusted by Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 14 2010

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Last modified February 15 21:56 EST 2012. Contains 205860 sequences.