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A134336
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Nonnegative integers n containing each digit between n's smallest and largest decimal digits.
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7
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0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 21, 22, 23, 32, 33, 34, 43, 44, 45, 54, 55, 56, 65, 66, 67, 76, 77, 78, 87, 88, 89, 98, 99, 100, 101, 102, 110, 111, 112, 120, 121, 122, 123, 132, 201, 210, 211, 212, 213, 221, 222, 223, 231, 232, 233, 234, 243, 312, 321, 322, 323
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,3
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COMMENTS
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A032981 is a subsequence; the term 102 is the first positive integer not also in A032981. A171102 (pandigital numbers) and A033075 are subsequences. Union of A010785 (repdigits) and A108965.
a(n) = A178403(n) for n < 48. - Reinhard Zumkeller, May 27 2010
Equivalently, numbers with the property that the set of its decimal digits is a set of consecutive numbers. - Tanya Khovanova and Charles R Greathouse IV, Jul 31 2012
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LINKS
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Table of n, a(n) for n=1..64.
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FORMULA
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a(n) ~ n. - Charles R Greathouse IV, Sep 09 2011
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PROG
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(PARI) is(n)=my(v=vecsort(eval(Vec(Str(n))), , 8)); for(i=2, #v, if(v[i]!=1+v[i-1], return(0))); 1 \\ Tanya Khovanova and Charles R Greathouse IV, Jul 31 2012
(PARI) is_A134336(n)={vecmax(n=Set(digits(n)))-vecmin(n)==#n-1} \\ M. F. Hasler, Dec 24 2014
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CROSSREFS
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Cf. A032981, A050278, A033075 (a subsequence), A010785, A108965.
Sequence in context: A130577 A252490 A178403 * A131207 A032981 A136332
Adjacent sequences: A134333 A134334 A134335 * A134337 A134338 A134339
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KEYWORD
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base,easy,nonn
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AUTHOR
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Rick L. Shepherd, Oct 21 2007
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EXTENSIONS
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Edited by N. J. A. Sloane, Aug 06 2012
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STATUS
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approved
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