A figurate number of the form S t O c t_n | = | O_n + 8T e_(n - 1) | = | n(2n^2 - 1), where O_n is an octahedral number and T e_n is a tetrahedral number. The first few are 1, 14, 51, 124, 245, ... (OEIS A007588). The generating function for the stella octangula numbers is (x(x^2 + 10x + 1))/(x - 1)^4 = x + 14x^2 + 51x^3 + 124x^4 + .... The only known square stella octangula numbers are 1 and 9653449, which correspond to m^2 = S t O c t_n with (m, n) = (1, 1) and (m, n) = (3107, 169).
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