A108782 Difference between n and the largest number with the same digit set as n.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 18, 27, 36, 45, 54, 63, 72, 0, 0, 0, 9, 18, 27, 36, 45, 54, 63, 0, 0, 0, 0, 9, 18, 27, 36, 45, 54, 0, 0, 0, 0, 0, 9, 18, 27, 36, 45, 0, 0, 0, 0, 0, 0, 9, 18, 27, 36, 0, 0, 0, 0, 0, 0, 0, 9, 18, 27, 0, 0, 0, 0, 0, 0, 0, 0, 9, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0

Offset: 0

Author

Zak Seidov, Jun 29 2005

Keywords

• nonn
• base
• look

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A004186, A151949, A193581.

Programs

Mathematica

FromDigits[Sort[IntegerDigits[n], Greater]] - n (Rob Pratt)
Table[Max[FromDigits/@ Permutations[IntegerDigits[n]]]-n, {n, 150}]

Formula

a(n) = A004186(n) - n. - Seiichi Manyama, Sep 25 2018

Extensions

a(0)=0 prepended by Seiichi Manyama, Sep 25 2018