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Number of subset-sum triangles with composite a subset-sum of the integer partition with Heinz number n.
+10
6
0, 1, 1, 4, 1, 6, 1, 13, 4, 6, 1, 25, 1, 6, 6, 38, 1, 26, 1, 26, 6, 6
Number of ordered multiset partitions of integer partitions of n where the sequence of GCDs of the partitions is weakly increasing.
+10
6
1, 1, 3, 7, 18, 42, 105, 248, 606, 1450, 3507, 8415, 20305, 48785, 117502, 282574, 680137, 1636005, 3936841, 9470776, 22787529, 54822530, 131901491, 317336519, 763489051, 1836862947, 4419324581, 10632404189, 25580507505, 61543948594, 148068421107
Number of ordered multiset partitions of integer partitions of n where the sequence of LCMs of the blocks is weakly increasing.
+10
4
1, 1, 3, 7, 17, 38, 87, 191, 420, 908, 1954, 4160, 8816, 18549, 38851, 80965, 168077, 347566, 716443, 1472344, 3017866, 6170789, 12590805, 25640050, 52122784, 105791068, 214413852, 434007488, 877480395, 1772235212, 3575967030, 7209301989, 14523006820
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