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EXAMPLE
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The sequence of all pairwise intersecting set-systems with empty intersection, together with their BII-numbers, begins:
0: {}
52: {{1,2},{1,3},{2,3}}
116: {{1,2},{1,3},{2,3},{1,2,3}}
772: {{1,2},{1,4},{2,4}}
832: {{1,2,3},{1,4},{2,4}}
836: {{1,2},{1,2,3},{1,4},{2,4}}
1072: {{1,3},{2,3},{1,2,4}}
1076: {{1,2},{1,3},{2,3},{1,2,4}}
1136: {{1,3},{2,3},{1,2,3},{1,2,4}}
1140: {{1,2},{1,3},{2,3},{1,2,3},{1,2,4}}
1796: {{1,2},{1,4},{2,4},{1,2,4}}
1856: {{1,2,3},{1,4},{2,4},{1,2,4}}
1860: {{1,2},{1,2,3},{1,4},{2,4},{1,2,4}}
2320: {{1,3},{1,4},{3,4}}
2368: {{1,2,3},{1,4},{3,4}}
2384: {{1,3},{1,2,3},{1,4},{3,4}}
2592: {{2,3},{2,4},{3,4}}
2624: {{1,2,3},{2,4},{3,4}}
2656: {{2,3},{1,2,3},{2,4},{3,4}}
2880: {{1,2,3},{1,4},{2,4},{3,4}}
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