A figurate number which is given by Ptop_n = 1/4 Te_n(n + 3) = 1/24 n(n + 1)(n + 2)(n + 3), where Te_n is the nth tetrahedral number. The first few pentatope numbers are 1, 5, 15, 35, 70, 126, ... (OEIS A000332). The generating function for the pentatope numbers is x/(1 - x)^5 = x + 5x^2 + 15x^3 + 35x^4 + ....
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