A296130 - OEIS

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

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OFFSET

1,1

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.

LINKS

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

EXAMPLE

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.

PROG

(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

CROSSREFS

Cf. A061601.

Sequence in context: A082804 A262277 A144777 * A284811 A257001 A367341

Adjacent sequences: A296127 A296128 A296129 * A296131 A296132 A296133

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Jean-Marc Falcoz, Feb 14 2018

STATUS

approved