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A111260 Numbers of the form (m^n)/(n^m) with m > 0 and n>1. 0

%I

%S 1,4,16,27,256,729,65536,2985984,4194304,9765625,134217728,387420489,

%T 2176782336,24794911296,30517578125,104857600000,678223072849,

%U 2641807540224,7625597484987,17592186044416,281474976710656

%N Numbers of the form (m^n)/(n^m) with m > 0 and n>1.

%e The 4th element is a=27 with m = 3 and n = 9 because 3^9/9^3 = 27.

%p a:=proc(N) local a, m,n; for m from 1 to N do for n from 2 to N do a:=(m^n)/(n^m); if(floor(a)=a)then print(a) fi; od; od; end: # convert into set # sort set

%t Take[ Select[ Union@Flatten@Table[(m^n)/(n^m), {m, 35}, {n, 2, 35}], IntegerQ[ # ] &], 21] (* _Robert G. Wilson v_, Nov 17 2005 *)

%Y Cf. A072651, A072652, A072653.

%K nonn

%O 1,2

%A _Giorgio Balzarotti_ and _Paolo P. Lava_, Nov 12 2005

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Last modified August 23 11:24 EDT 2019. Contains 326222 sequences. (Running on oeis4.)