[seqfan] Re: Mystery concerning sequences A169720-A169727

[Neil Sloane]

Doug, Thanks very much - that clears
up the mystery! Nice work! (I had not thought to use
the pieces in multiple ways)
Neil

On Sat, Dec 1, 2012 at 11:25 PM, D. S. McNeil <dsm054 at gmail.com> wrote:

> > But how are the sequences obtained from the drawings?
>
> A169720 seems to count the number of contained shapes from the inside out:
>
> 1 = 1 central hexagon
> 10 = 1 hexagon + 6 small triangles + 3 triangles containing the central
> hexagon
> 55 = 10 + 12 white triangles/hexagons + (3 tri + 1 hex) * 6 inside the
> green/blue triangles + 6 green/blue triangles + 3 large triangles
> containing the white hexagon = 22+24+9=55
>
> etc.
>
>
> Doug
>
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Neil J. A. Sloane, President, OEIS Foundation
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