Journal of Integer Sequences, Vol. 10 (2007), Article 07.10.5

Inversion of Generating Functions using Determinants

Kwang-Wu Chen
Department of Mathematics and Computer Science Education
Taipei Municipal University of Education
No. 1, Ai-Kuo West Road
Taipei 100
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.

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(Concerned with sequences A000047 A000182 A001318 A001469 A008275 and A008277 .)

Received October 10 2007; revised version received December 31 2007. Published in Journal of Integer Sequences, December 31 2007.

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