A Figurate Number which is constructed as an Octahedral Number with a Square Pyramid removed from each
of the six Vertices,

where is an Octahedral Number and is a Pyramidal Number. The first few are 1, 38, 201, 586, ... (Sloane's A005910). The Generating Function for the truncated octahedral numbers is

**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 ``An On-Line Version of the Encyclopedia of Integer Sequences.''
http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.
*The Encyclopedia of Integer Sequences.* San Diego: Academic Press, 1995.

© 1996-9

1999-05-26