Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.6

Sequences of Definite Integrals, Factorials and Double Factorials

Thierry Dana-Picard
Department of Applied Mathematics
Jerusalem College of Technology
Havaad Haleumi Str. 21
POB 16031
Jerusalem 91160

Abstract: We study sequences of definite integrals. Some of them provide closed forms involving factorials and/or double factorials. Other examples are associated with either sequences or pairs of sequences of rational numbers, for which summations are found.

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(Concerned with sequences A000984 and A001147 .)

Received April 19 2005; revised version received September 29 2005. Published in Journal of Integer Sequences September 29 2005.

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