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EXAMPLE
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The a(0) = 0 through a(3) = 22 loop-graphs (loops shown as singletons):
. . {{1},{2},{1,2}} {{1},{2},{3},{1,2}}
{{1},{2},{3},{1,3}}
{{1},{2},{3},{2,3}}
{{1},{2},{1,2},{1,3}}
{{1},{2},{1,2},{2,3}}
{{1},{2},{1,3},{2,3}}
{{1},{3},{1,2},{1,3}}
{{1},{3},{1,2},{2,3}}
{{1},{3},{1,3},{2,3}}
{{2},{3},{1,2},{1,3}}
{{2},{3},{1,2},{2,3}}
{{2},{3},{1,3},{2,3}}
{{1},{1,2},{1,3},{2,3}}
{{2},{1,2},{1,3},{2,3}}
{{3},{1,2},{1,3},{2,3}}
{{1},{2},{3},{1,2},{1,3}}
{{1},{2},{3},{1,2},{2,3}}
{{1},{2},{3},{1,3},{2,3}}
{{1},{2},{1,2},{1,3},{2,3}}
{{1},{3},{1,2},{1,3},{2,3}}
{{2},{3},{1,2},{1,3},{2,3}}
{{1},{2},{3},{1,2},{1,3},{2,3}}
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