Non-isomorphic representatives of the a(5) = 14 hypergraphs:
{{123}{145}{245}{345}}
{{123}{124}{135}{245}{345}}
{{123}{145}{235}{245}{345}}
{{123}{134}{145}{235}{245}{345}}
{{123}{145}{234}{235}{245}{345}}
{{124}{135}{145}{235}{245}{345}}
{{125}{135}{145}{235}{245}{345}}
{{123}{124}{135}{145}{235}{245}{345}}
{{124}{135}{145}{234}{235}{245}{345}}
{{125}{135}{145}{234}{235}{245}{345}}
{{123}{124}{135}{145}{234}{235}{245}{345}}
{{125}{134}{135}{145}{234}{235}{245}{345}}
{{124}{125}{134}{135}{145}{234}{235}{245}{345}}
{{123}{124}{125}{134}{135}{145}{234}{235}{245}{345}}
|