Inversion of Generating Functions using Determinants
Department of Mathematics and Computer Science Education
Taipei Municipal University of Education
No. 1, Ai-Kuo West Road
Republic of China
In this note, we prove that the coefficients of an ordinary generating function
can be deduced from some determinant formula about the coefficients in
the reciprocal of the ordinary generating function. We use this result
to obtain determinant identities for some well-known numbers.
Full version: pdf,
(Concerned with sequences
Received October 10 2007;
revised version received December 31 2007.
Published in Journal of Integer Sequences, December 31 2007.
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