

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




OFFSET

1,2


COMMENTS

a(4) = 2^(4^4) = 2^256 = 115792089237316195423570985008687907853269984665640564039457584007913129639936 with 78 digits. a(5) = 2^(3^(4^6)) with more than 10^1950 digits.


LINKS

Table of n, a(n) for n=1..4.


EXAMPLE

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 +, , *, /, ^.


CROSSREFS

Cf. A070960.
Sequence in context: A014222 * A162414 A188927 A146072 A064234 A224579
Adjacent sequences: A071104 A071105 A071106 * A071108 A071109 A071110


KEYWORD

nonn


AUTHOR

Koksal Karakus (karakusk(AT)hotmail.com), May 27 2002


STATUS

approved



