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A146748
Numbers of the form n^k * k^n, where n,k > 1.
3
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
1,1
LINKS
EXAMPLE
2^2 * 2^2 = 16,
2^3 * 3^2 = 72.
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
CROSSREFS
KEYWORD
nonn
AUTHOR
Howard Berman (howard_berman(AT)hotmail.com), Nov 01 2008
STATUS
approved