A005892: Truncated square numbers?

[N. J. A. Sloane]

Thanks, Max,

Unfortunately, I'm too far from any library,
and have no access to this particular journal :-(
Still it seems that notion isn't widely accepted(?)
Zak

On 1/5/07, Max A. <maxale at gmail.com> wrote:
> On 1/4/07, Zakir Seidov <zakseidov at gmail.com> wrote:
>
> > %I A005892 %S A005892
> > 1,12,37,76,129,196,277,372,481,604,741,892,1057,1236,1429,1636,1857
> > %N A005892 Truncated square numbers: 7*n^2 + 4*n + 1.
> > %D A005892 B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal
> > and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
>
> This is a direct link to the cited paper: http://dx.doi.org/10.1021/ic00220a025
> In the paper this sequence appears in Table V as Total Number of
> Points in Square Octagon of Frequency n.
>
> Max
>



Zak, as I said, all you need is a browser to see the paper
on my home page.

The terminology is perfectly standard and classical, going
back at least 200 years

The general notion is of a polygonal number in 2-D,
a polyhedral number in 3-D. A square number is
the number of dots in array of dots in the shape of a square
with n dots on each edge. The general case is exactly the same.
A truncated cube is a semiregular solid obtained
by cutting the corners off a cube.  See my paper for pictures!
Neil