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EXAMPLE
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The a(3) = 2 hypergraphs:
{{1},{2},{3}}
{{1,2},{1,3},{2,3}}
The a(4) = 5 hypergraphs:
{{1},{2},{3},{4}}
{{1,2},{1,3},{2,4},{3,4}}
{{1,2},{1,4},{2,3},{3,4}}
{{1,3},{1,4},{2,3},{2,4}}
{{1,2,3},{1,2,4},{1,3,4},{2,3,4}}
The a(5) = 26 hypergraphs:
{{1},{2},{3},{4},{5}}
{{1,2},{1,3},{2,4},{3,5},{4,5}}
{{1,2},{1,3},{2,5},{3,4},{4,5}}
{{1,2},{1,4},{2,3},{3,5},{4,5}}
{{1,2},{1,4},{2,5},{3,4},{3,5}}
{{1,2},{1,5},{2,3},{3,4},{4,5}}
{{1,2},{1,5},{2,4},{3,4},{3,5}}
{{1,3},{1,4},{2,3},{2,5},{4,5}}
{{1,3},{1,4},{2,4},{2,5},{3,5}}
{{1,3},{1,5},{2,3},{2,4},{4,5}}
{{1,3},{1,5},{2,4},{2,5},{3,4}}
{{1,4},{1,5},{2,3},{2,4},{3,5}}
{{1,4},{1,5},{2,3},{2,5},{3,4}}
{{1,2,3},{1,2,4},{1,3,5},{2,4,5},{3,4,5}}
{{1,2,3},{1,2,4},{1,4,5},{2,3,5},{3,4,5}}
{{1,2,3},{1,2,5},{1,3,4},{2,4,5},{3,4,5}}
{{1,2,3},{1,2,5},{1,4,5},{2,3,4},{3,4,5}}
{{1,2,3},{1,3,4},{1,4,5},{2,3,5},{2,4,5}}
{{1,2,3},{1,3,5},{1,4,5},{2,3,4},{2,4,5}}
{{1,2,4},{1,2,5},{1,3,4},{2,3,5},{3,4,5}}
{{1,2,4},{1,2,5},{1,3,5},{2,3,4},{3,4,5}}
{{1,2,4},{1,3,4},{1,3,5},{2,3,5},{2,4,5}}
{{1,2,4},{1,3,5},{1,4,5},{2,3,4},{2,3,5}}
{{1,2,5},{1,3,4},{1,3,5},{2,3,4},{2,4,5}}
{{1,2,5},{1,3,4},{1,4,5},{2,3,4},{2,3,5}}
{{1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{2,3,4,5}}
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