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From OeisWiki

• 0-dimensional figurate numbers (e.g. point numbers and centered point numbers)

• 1-dimensional figurate numbers (e.g. gnomonic numbers and centered gnomonic numbers)

• 2-dimensional figurate numbers (e.g. polygonal numbers and centered polygonal numbers)

• 3-dimensional figurate numbers (e.g. Platonic numbers (i.e. tetrahedral numbers, hexahedral numbers (cube numbers), octahedral numbers, dodecahedral numbers, icosahedral numbers) and centered Platonic numbers, pyramidal numbers)

• 4-dimensional figurate numbers (e.g. regular polychoron numbers and centered regular polychoron numbers)