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%I #8 Oct 31 2024 01:41:38
%S 1000000000000000000000102,1000000000000000000000104,
%T 1000000000000000000000106,1000000000000000000000108,
%U 1000000000000000000000110,1000000000000000000000112,1000000000000000000000114,100000000000000000000000116,100000000000000000000000118
%N Numbers that can be expressed as (m + sum of digits of m) in exactly four ways.
%C Let f(n) = n + (sum of digits of n) = A062028(n).
%C Let g(m) = number of n such that f(n) = m (i.e. the number of inverses of m), A230093(m).
%C Numbers m with g(m) = 0 are called the Self or Colombian numbers, A003052.
%C Numbers m with g(m) = 1 give A225793.
%C Numbers m with g(m) = 2 give A230094.
%C Numbers m with g(m) = 3 give A230100.
%C The present sequence gives numbers m such that A230093(m) = 4.
%H Daniel Mondot, <a href="/A377422/b377422.txt">Table of n, a(n) for n = 1..10000</a>
%e There are exactly four numbers, 999999999999999999999894, 999999999999999999999903, 1000000000000000000000092, and 1000000000000000000000101, whose image under n->f(n) is 1000000000000000000000104, so 1000000000000000000000104 is a member of the sequence.
%Y Cf. A230100, A006064, A062028, A230093.
%K nonn,base
%O 1,1
%A _Daniel Mondot_, Oct 27 2024