A134336 Nonnegative integers n containing each digit between n's smallest and largest decimal digits.

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

Offset

1,3

Comments

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

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Formula

a(n) ~ n. - Charles R Greathouse IV, Sep 09 2011

Prog

(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
(Python)
def ok(n): d = sorted(set(map(int, str(n)))); return d[-1]-d[0]+1 == len(d)
print([k for k in range(324) if ok(k)]) # Michael S. Branicky, Dec 12 2023

Crossrefs

Cf. A032981, A050278, A033075 (a subsequence), A010785, A108965.

Sequence in context: A130577 A252490 A178403 * A131207 A355617 A032981

Adjacent sequences: A134333 A134334 A134335 * A134337 A134338 A134339

Keyword

base,easy,nonn

Author

Rick L. Shepherd, Oct 21 2007

Extensions

Edited by N. J. A. Sloane, Aug 06 2012

Status

approved