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Centered tetrahedral number
Total no. of termsInfinity
Subsequence ofPolyhedral numbers
First terms1, 5, 15, 35, 69, 121, 195
OEIS index

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

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

Parity and divisibility