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The number of strong vertex magic total labelings of all 2-regular simple graphs on 2n+1 vertices.
1

%I #8 Mar 19 2018 04:08:12

%S 1,1,9,45,566,6294,125160,2384157,71563278

%N The number of strong vertex magic total labelings of all 2-regular simple graphs on 2n+1 vertices.

%C A simple counting argument shows that no 2-regular graph of even order possesses a strong VMTL.

%C In 2-regular graphs we can swap the interpretation of edges and vertices; so this sequence also gives the number of super edge magic total labelings; hence c.f. the (n,n) diagonal of A060408.

%Y Row sums of triangle A177741.

%K hard,more,nonn

%O 1,3

%A _Jason Kimberley_, May 17 2010