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EXAMPLE
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The a(3) = 48 edge-sets:
{12,23} {12,13,21} {12,13,21,23} {12,13,21,23,31} {12,13,21,23,31,32}
{12,31} {12,13,23} {12,13,21,31} {12,13,21,23,32}
{13,21} {12,13,31} {12,13,21,32} {12,13,21,31,32}
{13,32} {12,13,32} {12,13,23,31} {12,13,23,31,32}
{21,32} {12,21,23} {12,13,23,32} {12,21,23,31,32}
{23,31} {12,21,31} {12,13,31,32} {13,21,23,31,32}
{12,21,32} {12,21,23,31}
{12,23,31} {12,21,23,32}
{12,23,32} {12,21,31,32}
{12,31,32} {12,23,31,32}
{13,21,23} {13,21,23,31}
{13,21,31} {13,21,23,32}
{13,21,32} {13,21,31,32}
{13,23,31} {13,23,31,32}
{13,23,32} {21,23,31,32}
{13,31,32}
{21,23,31}
{21,23,32}
{21,31,32}
{23,31,32}
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