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, ... (OEIS A000332). The generating function for the pentatope numbers is
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, ... (OEIS A000332). The generating function for the pentatope numbers is
Weisstein, Eric W. "Pentatope Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PentatopeNumber.html