A Figurate Number which is given by

where is the th Tetrahedral Number. The first few pentatope numbers are 1, 5, 15, 35, 70, 126, ... (Sloane's A000332). The Generating Function for the pentatope numbers is

**References**

Conway, J. H. and Guy, R. K. *The Book of Numbers.* New York: Springer-Verlag, pp. 55-57, 1996.

© 1996-9

1999-05-26