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A259406
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Numbers of the form i^j * j^k * k^i, where i,j,k > 1.
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1
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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
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listen;
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OFFSET
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1,1
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LINKS
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EXAMPLE
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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
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PROG
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(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
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CROSSREFS
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The form of this sequence is similar to A146748.
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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