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A362626 a(n) is the smallest number of 1's used in expressing n as a calculation containing only decimal repunits and operators +, -, * and /, where fractions are allowed as intermediate results.

%I A362626 #21 Mar 27 2025 02:23:45
%S A362626 1,2,3,4,5,5,6,5,4,3,2,3,4,5,6,7,7,6,6,5,5,4,5,5,6,6,7,7,7,6,7,6,5,6,
%T A362626 7,6,6,7,7,7,8,7,7,6,7,7,8,7,8,7,8,8,8,7,6,6,7,8,8,7,7,8,8,8,8,7,8,8,
%U A362626 8,9,9,8,8,7,8,9,8,8,9,8,8,9,10,9,9,9,8,7,7
%N A362626 a(n) is the smallest number of 1's used in expressing n as a calculation containing only decimal repunits and operators +, -, * and /, where fractions are allowed as intermediate results.
%C A362626 a(n+1) <= a(n) + 1.
%C A362626 a(n) <= a(i) + a(j), for all i O j = n, for O = +, -, *, /.
%H A362626 Michael S. Branicky, <a href="/A362626/b362626.txt">Table of n, a(n) for n = 1..10000</a>
%e A362626 a(74) = 7, since 74 = 111/(1+(1/(1+1))).
%e A362626 a(111) = 3.
%Y A362626 Cf. A002275, A005245, A362471.
%K A362626 nonn,base
%O A362626 1,2
%A A362626 _Yifan Xie_, _Haochen Mi_ and _Michael S. Branicky_, Apr 28 2023