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User:Jason Kimberley/D k-reg girth eq g index

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girth C D E
Cge Dge Ege
Ceq Deq Eeq

Index of sequences counting disconnected k-regular simple graphs with girth exactly g

A210710 lost :-( A185010 A185020 A185030 A185040 A185050
\ 0 1 2 3 4 5 6 7 8
A210703 A210713 3 A000004 A000004 A210723 A185033 A185043 A185053 A185063
A210704 A210714 4 A000004 A000004 A185024 A185034 A185044
A210705 A210715 5 A000004 A000004 A185025 A185035
A210706 A210716 6 A000004 A000004 A185026 A185036
A210717 7 A000004 A000004 A185027 A185037
A210718 8 A000004 A000004 A185028
9 A000004 A000004 A185029

Notice that each sequence above is not the disconnected Euler transformation of the corresponding sequence counting connected k-regular simple graphs with girth exactly g: a disconnected graph with girth exactly g need only have one component with girth exactly g; the other component(s) only need have girth at least g.