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

0,13

Links

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

Formula

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

Mathematica

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

Crossrefs

Cf. A004186, A151949, A193581.

Sequence in context: A044849 A282149 A114612 * A178734 A114386 A178895

Adjacent sequences: A108779 A108780 A108781 * A108783 A108784 A108785

Keyword

nonn,base,look

Author

Zak Seidov, Jun 29 2005

Extensions

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

Status

approved