Exponential Transform
المؤلف:
Sloane, N. J. A. and Plouffe, S.
المصدر:
The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press
الجزء والصفحة:
pp. 19-20
27-10-2020
1070
Exponential Transform
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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