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A296130 Replace each digit of n with its complement to 9; this will reproduce all digits of n in a different order. 1

%I #16 Feb 27 2020 23:11:50

%S 18,27,36,45,54,63,72,81,90,1089,1098,1188,1278,1287,1368,1386,1458,

%T 1485,1548,1584,1638,1683,1728,1782,1809,1818,1827,1836,1845,1854,

%U 1863,1872,1881,1890,1908,1980,2079,2097,2178,2187,2277,2367,2376,2457,2475,2547,2574,2637,2673,2709,2718

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

%C 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.

%H Jean-Marc Falcoz, <a href="/A296130/b296130.txt">Table of n, a(n) for n = 1..3000</a>

%e 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.

%e 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.

%o (PARI) replace_digits(n) = my(d=digits(n)); for(k=1, #d, d[k]=abs(d[k]-9)); d

%o is(n) = vecsort(digits(n))==vecsort(replace_digits(n)) \\ _Felix Fröhlich_, Feb 14 2018

%Y Cf. A061601.

%K nonn,base

%O 1,1

%A _Eric Angelini_ and _Jean-Marc Falcoz_, Feb 14 2018

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)