A pentatope number is a figurate number given by
where is a positive integer and 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
for .
More things to try:
Weisstein, Eric W. "Pentatope Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentatopeNumber.html
is a positive integer and 
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
.
