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Tetrahedral Number Calculator

Te_n = n(n+1)(n+2)/6 — sum of the first n triangular numbers.

Compute the n-th tetrahedral number Te_n = n(n + 1)(n + 2) / 6 — the number of stacked spheres in a tetrahedron with n spheres along each edge.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Te_n = n(n + 1)(n + 2) / 6

In depth

Compute the n-th tetrahedral number Te_n = n(n + 1)(n + 2) / 6 — the number of stacked spheres in a tetrahedron with n spheres along each edge.