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Main diagonal of A055886.
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From Gus Wiseman, Oct 11 2018: (Start)
Also the number of multiset partitions of multiset partitions of integer partitions of n. For example, the a(1) = 1 through a(4) = 30 multiset partitions are:
((1)) ((2)) ((3)) ((4))
((11)) ((12)) ((13))
((1)(1)) ((111)) ((22))
((1))((1)) ((1)(2)) ((112))
((1)(11)) ((1111))
((1))((2)) ((1)(3))
((1))((11)) ((2)(2))
((1)(1)(1)) ((1)(12))
((1))((1)(1)) ((2)(11))
((1))((1))((1)) ((1)(111))
((11)(11))
((1))((3))
((2))((2))
((1))((12))
((1)(1)(2))
((2))((11))
((1))((111))
((1)(1)(11))
((11))((11))
((1))((1)(2))
((2))((1)(1))
((1))((1)(11))
((1)(1)(1)(1))
((11))((1)(1))
((1))((1))((2))
((1))((1))((11))
((1))((1)(1)(1))
((1)(1))((1)(1))
((1))((1))((1)(1))
((1))((1))((1))((1))
(End)
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Huberman, B. A.; Hogg, T.; Complexity and adaptation. Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
B. A. Huberman and T. Hogg, <a href="https://doi.org/10.1016/0167-2789(86)90308-1">Complexity and adaptation</a>, Evolution, games and learning (Los Alamos, N.M., 1985). Phys. D 22 (1986), no. 1-3, 376-384.
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Alois P. Heinz, <a href="/A007713/b007713_1.txt">Table of n, a(n) for n = 0..1000</a>
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Alois P. Heinz, <a href="/A007713/b007713_1.txt">Table of n, a(n) for n = 10..1000</a>