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a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5 and the operators +, -, *, /, using each number only once.
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%I #17 Dec 29 2022 06:46:01

%S 76,284,433,734,842,1102,1228,1366,1652,709,859,879,943,1070,1091,749,

%T 829,530,628,653,677,202,342,293,248,238,247,245,253,336,251,147,125,

%U 155,127,163,139,133,149,181,157,153,155,169,162,157,131,174,176,169

%N a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5 and the operators +, -, *, /, using each number only once.

%C Asymptotically the sequence tends to 13. The first n for which a(n) equals the limit is n=83. - _Gilles A.Fleury_, Oct 18 2008

%H Gilles A. Fleury, <a href="/A060316/b060316.txt">Table of n, a(n) for n = 0..100</a>, Oct 18 2008.

%H Gilles Bannay, <a href="https://web.archive.org/web/20061201125224/http://gilles.bannay.free.fr/jeux_us.html">Countdown Problem</a>

%H <a href="/index/Fo#4x4">Index entries for similar sequences</a>

%e u(0)=76 is the smallest natural number we can't obtain with 0, 1, 2, 3, 4, 5 and the operators +, -, *, /, using each number only once.

%Y Cf. A060315, A141494.

%K nonn

%O 0,1

%A _Jean-Marc Rebert_, Mar 28 2001

%E More terms from Koksal Karakus (karakusk(AT)hotmail.com), May 28 2002