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# Hyperpyramidal numbers

With the exception of the hyperpyramidal numbers (which include the pyramidal numbers and the centered pyramidal numbers, i.e. the (centered polygons) pyramidal numbers, as 3-dimensional hyperpyramidal numbers,) all the figurate numbers considered are regular polytope numbers corresponding to convex regular polytopes in a d-dimensional Euclidean space in ${\displaystyle \scriptstyle \mathbb {R} ^{d}\,}$, d ≥ 0.