A figurate number which is constructed as an octahedral number with a square
pyramid removed from each of the six graph vertices ,
where octahedral number and square
pyramidal number . The first few are 1, 38, 201, 586, ... (OEIS A005910 ).
The generating function for the truncated
octahedral numbers is
(3)
See also Octahedral Number ,
Square
Pyramidal Number
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References Conway, J. H. and Guy, R. K. The Book of Numbers. Sloane,
N. J. A. Sequence A005910 /M5266
in "The On-Line Encyclopedia of Integer Sequences." Referenced
on Wolfram|Alpha Truncated Octahedral Number
Cite this as:
Weisstein, Eric W. "Truncated Octahedral Number."
From MathWorld https://mathworld.wolfram.com/TruncatedOctahedralNumber.html
Subject classifications
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
