A071107


a(n) is the greatest integer that can be obtained from the integers {1, 2, 3, ..., n} using each number at most once and the operators +,,*,/,^.


4


%I
%S 1,3,27,
%T 115792089237316195423570985008687907853269984665640564039457584007913129639936
%N a(n) is the greatest integer that can be obtained from the integers {1, 2, 3, ..., n} using each number at most once and the operators +,,*,/,^.
%C a(4) = 2^(4^4) = 2^256 = 115792089237316195423570985008687907853269984665640564039457584007913129639936 with 78 digits. a(5) = 2^(3^(4^6)) with more than 10^1950 digits.
%e a(3) = 27 because 3^(2+1) = 27 is the greatest integer that can be obtained by using 1, 2, 3 once and the operations +, , *, /, ^.
%Y Cf. A070960.
%K nonn
%O 1,2
%A Koksal Karakus (karakusk(AT)hotmail.com), May 27 2002
