OFFSET
1,2
COMMENTS
Numbers n such that (n^i)^(n^(1/i)) = (n^j)^(n^(1/j)) for some i and j.
FORMULA
See A072651 for calculation method.
EXAMPLE
1 is included because of solutions of the form b^0 = 0^0, 1^c = c^0 and 1^1 = 1^d; 4 since 2^2 = 2^2; 16 since 2^4 = 4^2 and 4^2 = 2^4; 27 since 3^3 = 3^3; 64 since 8^2 = 2^6; etc.
The 10th element is n = 4096 with i = 12 and j = 6 because (4096^12)^(4096^(1/12)) = (4096^6)^(4096^(1/6)).
CROSSREFS
KEYWORD
nonn
AUTHOR
Henry Bottomley, Jun 28 2002
EXTENSIONS
Edited by N. J. A. Sloane at the suggestion of Andrew S. Plewe, Oct 07 2006, Jun 05 2007
STATUS
approved