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
Israel

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.

(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.