Piled polyominos

franktaw at netscape.net franktaw at netscape.net
Sun Oct 16 00:30:36 CEST 2005


OK, I was missing one of the tetracubes.  This changes my last four 
sequences:

>There are 4 sequences of piled 3D polys that need extending:
>
>allowing only planar rotations:
>
>1,2,4,15

1,2,4,17

>allowing arbitrary planar transformations:
>
>1,2,3,12

1,2,3,13

>allowing spatial rotations:
>
>1,1,2,8

1,1,2,9

>and allowing arbitrary isometric transformations:
>
>1,1,2,7

1,1,2,8

>These clearly need more terms.

-----Original Message-----
From: Joseph S. Myers <jsm at polyomino.org.uk>
To: franktaw at netscape.net
Cc: seqfan at ext.jussieu.fr
Sent: Sat, 15 Oct 2005 18:36:13 +0000 (UTC)
Subject: Re: Fwd: Piled polyominos

On Sat, 15 Oct 2005, franktaw at netscape.net wrote:

> I wanted to add a reference to the sequence for fixed polycubes, but 
it
> doesn't appear to be in the database!  It starts:
>
> 1,3,15,74
>
> Surely somebody can extend this one.

It actually seems to start

1,3,15,86,534,3481,23502,162913,1152870,8294738,60494549

which shows it is in the database as A001931.

--
Joseph S. Myers
jsm at polyomino.org.uk

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