A296130 Replace each digit of n with its complement to 9; this will reproduce all digits of n in a different order.

18, 27, 36, 45, 54, 63, 72, 81, 90, 1089, 1098, 1188, 1278, 1287, 1368, 1386, 1458, 1485, 1548, 1584, 1638, 1683, 1728, 1782, 1809, 1818, 1827, 1836, 1845, 1854, 1863, 1872, 1881, 1890, 1908, 1980, 2079, 2097, 2178, 2187, 2277, 2367, 2376, 2457, 2475, 2547, 2574, 2637, 2673, 2709, 2718

Offset: 1

Author

Eric Angelini and Jean-Marc Falcoz, Feb 14 2018

Keywords

• nonn
• base

Comments

The complement of 0 is 9, of 1 is 8, of 2 is 7, etc. All terms of the sequence have an even number of digits, and all terms are divisible by 9.

Examples

			18 produces 81 when 1 is replaced by 8 and 8 is replaced by 1; 18 and 81 use the same set of digits, in a different order.
1089 produces 8910 when 1 is replaced by 8, 0 by 9, 8 by 1 and 9 by 0; 1089 and 8910 use the same set of digits, in a different order.
		

Links

• Jean-Marc Falcoz, Table of n, a(n) for n = 1..3000

Crossrefs

Cf. A061601.

Programs

PARI

replace_digits(n) = my(d=digits(n)); for(k=1, #d, d[k]=abs(d[k]-9)); d
is(n) = vecsort(digits(n))==vecsort(replace_digits(n)) \\ Felix Fröhlich, Feb 14 2018