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)
|
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