Centered tetrahedral number

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A centered tetrahedral number is a centered figurate number that represents a tetrahedron. The centered tetrahedral number for a specific n is given by

(2n+1)\times{(n^2+n+3) \over 3}

The first such numbers are 1, 5, 15, 35, 69, 121, 195, 295, 425, 589, 791, … (sequence A005894 in OEIS).

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