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Date: 17-12-2019
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Date: 22-2-2020
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Date: 27-8-2020
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The exponential transform is the transformation of a sequence , , ... into a sequence , , ... according to the equation
The inverse ("logarithmic") transform is then given by
The exponential transform relates the number of labeled connected graphs on nodes satisfying some property with the corresponding total number (not necessarily connected) of labeled graphs on nodes. In this application, the transform is called Riddell's formula for labeled graphs.
REFERENCES:
Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press, pp. 19-20, 1995.
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