A052484 Let P = all numbers that can be obtained by permuting the digits of n and possibly adding or omitting zeros; a(n) = |n-q| where q in P is the closest number to n different from n (a(n)=0 if no such q exists).

0, 9, 18, 27, 36, 45, 54, 63, 72, 81, 9, 90, 9, 18, 27, 36, 45, 54, 63, 72, 18, 9, 180, 9, 18, 27, 36, 45, 54, 63, 27, 18, 9, 270, 9, 18, 27, 36, 45, 54, 36, 27, 18, 9, 360, 9, 18, 27, 36, 45, 45, 36, 27, 18, 9, 450, 9, 18, 27, 36, 54, 45, 36, 27, 18, 9, 540, 9, 18, 27, 63, 36, 45, 36, 27, 18

Offset

0,2

Comments

Quasi-periodic.

Links

Table of n, a(n) for n=0..75.

Example

a(1)=9 since P={1,10,100,...} and 10-1 = 9.

Crossrefs

Cf. A052500, A052999.

Sequence in context: A178895 A044894 A264668 * A382418 A072830 A008591

Adjacent sequences: A052481 A052482 A052483 * A052485 A052486 A052487

Keyword

nonn,base,easy

Author

N. J. A. Sloane, Mar 18 2000

Extensions

More terms from Asher Auel, May 12 2000

Status

approved