Tetrahedral Numbers
Generate the tetrahedral numbers, which count how many spheres form a triangular-based pyramid: T(n) = n(n+1)(n+2)/6. The sequence starts 1, 4, 10, 20, 35, 56 and is the three-dimensional version of the triangular numbers (each term is the sum of triangulars up to n).
Resultado
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Números tetraédricos
Os números tetraédricos contam quantas esferas cabem numa pirâmide de base triangular: empilhe camadas que são números triangulares (1, 3, 6, 10…) e some-as. A fórmula é T(n) = n(n+1)(n+2)/6 e a sequência começa 1, 4, 10, 20, 35, 56. São a versão tridimensional dos números triangulares e aparecem na terceira diagonal do triângulo de Pascal.
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