Stella Octangula Number

A figurate number of the form

			(1)
			(2)

where  is an octahedral number and  is a tetrahedral number. The first few are 1, 14, 51, 124, 245, ... (OEIS A007588). The generating function for the stella octangula numbers is

(3)

The only known square stella octangula numbers are 1 and 9653449, which correspond to  with  and .

REFERENCES:

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 51, 1996.

Sloane, N. J. A. Sequence A007588/M4932 in "The On-Line Encyclopedia of Integer Sequences."