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EXAMPLE
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The prime signature of 360360 = 2^3*3^2*5*7*11*13 is (3,2,1,1,1,1). 2 appears as many times as 3 in 360360's prime signature, and 1 appears more times than 2. Since 360360 is also a member of A025487, it is a member of this sequence.
From Gus Wiseman, May 21 2022: (Start)
The terms together with their sorted prime signatures and sorted prime metasignatures begin:
1: {} -> {} -> {}
2: {1} -> {1} -> {1}
6: {1,2} -> {1,1} -> {2}
12: {1,1,2} -> {2,1} -> {1,1}
30: {1,2,3} -> {1,1,1} -> {3}
60: {1,1,2,3} -> {1,1,2} -> {1,2}
210: {1,2,3,4} -> {1,1,1,1} -> {4}
360: {1,1,1,2,2,3} -> {1,2,3} -> {1,1,1}
420: {1,1,2,3,4} -> {1,1,1,2} -> {1,3}
1260: {1,1,2,2,3,4} -> {1,1,2,2} -> {2,2}
2310: {1,2,3,4,5} -> {1,1,1,1,1} -> {5}
2520: {1,1,1,2,2,3,4} -> {1,1,2,3} -> {1,1,2}
4620: {1,1,2,3,4,5} -> {1,1,1,1,2} -> {1,4}
13860: {1,1,2,2,3,4,5} -> {1,1,1,2,2} -> {2,3}
27720: {1,1,1,2,2,3,4,5} -> {1,1,1,2,3} -> {1,1,3}
30030: {1,2,3,4,5,6} -> {1,1,1,1,1,1} -> {6}
60060: {1,1,2,3,4,5,6} -> {1,1,1,1,1,2} -> {1,5}
(End)
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