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a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3 and the operators +, -, *, /, using each number only once.
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%I #7 Oct 13 2013 17:17:35

%S 10,29,41,43,40,44,26,21,15,15,18,18,18,10,10,5,5,5,5,5,5,5,5,5,5,5,5,

%T 5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5

%N a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3 and the operators +, -, *, /, using each number only once.

%C This sequence is related to the sequences A071110 (for 5 successive integers) and A060316 (for 6 successive integers) and others sequences to come...

%C Asymptotically (in fact as soon as n>=15), the sequence tends to 5.

%Y Cf. A071110, A060316, A071107, A060315, A141494, A142153.

%K nonn

%O 1,1

%A _Gilles A.Fleury_, Oct 18 2008