A146748 Numbers of the form n^k * k^n, where n,k > 1.

16, 72, 256, 729, 800, 2304, 5184, 6272, 16384, 30375, 41472, 65536, 102400, 157464, 247808, 589824, 640000, 750141, 1384448, 3211264, 3359232, 5308416, 7372800, 9765625, 14348907, 16777216, 37879808, 39337984, 59049000, 84934656

Offset: 1

Author

Howard Berman (howard_berman(AT)hotmail.com), Nov 01 2008

Keywords

• nonn

Examples

			2^2 * 2^2 = 16,
2^3 * 3^2 = 72.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007758, A062074, A062075, A062275.

Programs

Maple

N:= 10^20: # for terms <= N
S:= {}:
for n from 2 to ilog2(N) do
  for k from n do
    v:= n^k * k^n;
    if v > N then break fi;
    S:= S union {v};
od od:
sort(convert(S,list)); # Robert Israel, Oct 31 2023