Truncated Octahedral Number

A figurate number which is constructed as an octahedral number with a square pyramid removed from each of the six graph vertices,

			(1)
			(2)

where  is an octahedral number and  is a square pyramidal number. The first few are 1, 38, 201, 586, ... (OEIS A005910). The generating function for the truncated octahedral numbers is

(3)

REFERENCES:

Conway, J. H. and Guy, R. K. The Book of Numbers. New York: Springer-Verlag, p. 52, 1996.

Sloane, N. J. A. Sequence A005910/M5266 in "The On-Line Encyclopedia of Integer Sequences."