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 A323587 Number of strict (distinct parts) plane partitions of n with relatively prime parts. 4
 1, 1, 0, 2, 2, 4, 6, 10, 12, 18, 30, 40, 48, 74, 92, 142, 172, 242, 294, 412, 490, 722, 854, 1164, 1396, 1880, 2260, 2976, 3748, 4764, 5792, 7472, 9082, 11488, 14012, 17522, 21830, 26896, 32820, 40536, 49488, 60636, 73626, 89962, 108854, 134240, 160952, 195858 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS FORMULA Moebius transform of A117433. EXAMPLE The a(9) = 18 plane partitions:   81   72   621   54   531   432 .   8   7   61   62   5   51   53   42   43   1   2   2    1    4   3    1    3    2 .   6   5   4   2   3   3   1   1   2 MATHEMATICA primeMS[n_]:=If[n==1, {}, Flatten[Cases[FactorInteger[n], {p_, k_}:>Table[PrimePi[p], {k}]]]]; facs[n_]:=If[n<=1, {{}}, Join@@Table[Map[Prepend[#, d]&, Select[facs[n/d], Min@@#>=d&]], {d, Rest[Divisors[n]]}]]; ptnplane[n_]:=Union[Map[Reverse@*primeMS, Join@@Permutations/@facs[n], {2}]]; Table[Sum[Length[Select[ptnplane[Times@@Prime/@y], And[And@@GreaterEqual@@@#, And@@(GreaterEqual@@@Transpose[PadRight[#]])]&]], {y, Select[IntegerPartitions[n], UnsameQ@@#&&GCD@@#==1&]}], {n, 30}] CROSSREFS Cf. A000219, A000837, A003293, A006951, A026007, A100883, A117433 (strict plane partitions), A300275 (plane partitions with relatively prime parts), A303546, A320802, A323584, A323585. Sequence in context: A326448 A326528 A326633 * A236634 A034406 A098330 Adjacent sequences:  A323584 A323585 A323586 * A323588 A323589 A323590 KEYWORD nonn AUTHOR Gus Wiseman, Jan 20 2019 STATUS approved

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Last modified January 18 13:30 EST 2020. Contains 331007 sequences. (Running on oeis4.)