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%I #4 Jan 12 2017 15:15:03
%S 1,21,56,1386,252,18942,28512,837837,122122,17600583,1445808,
%T 140411908,301302288,10781435088,79318464,333208994139,6813685494,
%U 597189699029,582524800704,89346032143830,3151550453480,1467268659100530,1095411461933880,45383787697612455
%N Number of set partitions of [n] into exactly six blocks where sizes of distinct blocks are coprime.
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Coprime_integers">Coprime integers</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Partition_of_a_set">Partition of a set</a>
%Y Column k=6 of A280880.
%K nonn
%O 6,2
%A _Alois P. Heinz_, Jan 09 2017