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EXAMPLE
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The sequence of terms together with their prime indices begins:
36: {1,1,2,2} 1000: {1,1,1,3,3,3}
100: {1,1,3,3} 1089: {2,2,5,5}
196: {1,1,4,4} 1156: {1,1,7,7}
216: {1,1,1,2,2,2} 1176: {1,1,1,2,4,4}
225: {2,2,3,3} 1188: {1,1,2,2,2,5}
360: {1,1,1,2,2,3} 1224: {1,1,1,2,2,7}
441: {2,2,4,4} 1225: {3,3,4,4}
484: {1,1,5,5} 1296: {1,1,1,1,2,2,2,2}
504: {1,1,1,2,2,4} 1350: {1,2,2,2,3,3}
540: {1,1,2,2,2,3} 1368: {1,1,1,2,2,8}
600: {1,1,1,2,3,3} 1400: {1,1,1,3,3,4}
676: {1,1,6,6} 1404: {1,1,2,2,2,6}
756: {1,1,2,2,2,4} 1444: {1,1,8,8}
792: {1,1,1,2,2,5} 1500: {1,1,2,3,3,3}
936: {1,1,1,2,2,6} 1521: {2,2,6,6}
For example, a complete list of all factorizations of 7560 into squarefree semiprimes is:
7560 = (6*6*6*35) = (6*6*10*21) = (6*6*14*15),
but since none of these is strict, 7560 is in the sequence.
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