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A098626
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Consider the family of multigraphs enriched by the species of derangements. Sequence gives number of those multigraphs with n loops and arcs.
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0
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1, 0, 2, 4, 57, 348, 5235, 57930, 1037540, 16842496, 363889755, 7792175070, 201054289293, 5345844537876
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