The a(0)=1 maximal antichains is {}.
The a(1)=2 maximal antichains are {}, {1}.
The a(2)=3 maximal antichains {}, {1}{2}, {12}.
Representatives of the a(3)=5 maximal antichains are: {}, {1}{2}{3}, {12}{3}, {12}{13}{23}, {123}.
Representatives of the a(4)=10 maximal antichains are:
{}, {1}{2}{3}{4},
{12}{3}{4}, {12}{13}{23}{4},
{123}{4}, {12}{13}{24}{14}{24}{34},
{123}{14}{24}{34}, {123}{124}{34},
{123}{124}{134}{234}, {1234}.
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