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A362606
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Numbers without a unique least prime exponent, or numbers whose prime factorization has more than one element of least multiplicity.
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26
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6, 10, 14, 15, 21, 22, 26, 30, 33, 34, 35, 36, 38, 39, 42, 46, 51, 55, 57, 58, 60, 62, 65, 66, 69, 70, 74, 77, 78, 82, 84, 85, 86, 87, 90, 91, 93, 94, 95, 100, 102, 105, 106, 110, 111, 114, 115, 118, 119, 120, 122, 123, 126, 129, 130, 132, 133, 134, 138, 140
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listen;
history;
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OFFSET
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1,1
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COMMENTS
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First differs from A130092 in lacking 180.
First differs from A351295 in lacking 180 and having 216.
First differs from A362605 in having 60.
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LINKS
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EXAMPLE
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The prime factorization of 1800 is {2,2,2,3,3,5,5}, and the parts of least multiplicity are {3,5}, so 1800 is in the sequence.
The terms together with their prime indices begin:
6: {1,2}
10: {1,3}
14: {1,4}
15: {2,3}
21: {2,4}
22: {1,5}
26: {1,6}
30: {1,2,3}
33: {2,5}
34: {1,7}
35: {3,4}
36: {1,1,2,2}
38: {1,8}
39: {2,6}
42: {1,2,4}
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MATHEMATICA
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Select[Range[100], Count[Last/@FactorInteger[#], Min@@Last/@FactorInteger[#]]>1&]
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CROSSREFS
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Partitions of this type are counted by A362609.
These are the positions of terms > 1 in A362613.
A362614 counts partitions by number of modes.
A362615 counts partitions by number of co-modes.
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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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