A259406 Numbers of the form i^j * j^k * k^i, where i,j,k > 1.

64, 288, 1024, 1944, 3200, 9216, 10368, 19683, 25088, 36000, 48600, 65536, 124416, 139968, 165888, 209952, 320000, 395136, 409600, 820125, 857304, 991232, 1179648, 1327104, 2359296, 2500000, 3359232, 4251528, 4917248, 5537792, 9216000, 9720000, 10368000, 12441600, 12754584, 12845056

Offset: 1

Author

Marko Hermsen, Jun 26 2015

Keywords

• nonn

Examples

			i=2,j=2,k=2: 2^2 * 2^2 * 2^2 = 64
i=2,j=2,k=3: 2^2 * 2^3 * 3^2 = 288
i=2,j=2,k=4: 2^2 * 2^4 * 4^2 = 1024
		

Links

• Charles R Greathouse IV, Table of n, a(n) for n = 1..10000

Crossrefs

The form of this sequence is similar to A146748.

Programs

PARI

list(lim)=my(v=List(),m=2*lambertw(sqrt(lim)*log(2)/4)\log(2),t); for(i=2,m,for(j=i,m,if(i^j*j^i*i^i>lim,break);for(k=i,m,t=i^j*j^k*k^i; if(t>lim,break); listput(v,t)))); Set(v) \\ Charles R Greathouse IV, Jun 28 2015