login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A195739 Triangle read by rows: DX(n,d) = number of properly d-dimensional polyominoes with n cells, modulo translations (n>=1, 0 <= d <= n-1). 7
1, 0, 1, 0, 1, 4, 0, 1, 17, 32, 0, 1, 61, 348, 400, 0, 1, 214, 2836, 8640, 6912, 0, 1, 758, 21225, 129288, 254800, 153664 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

According to Barequet-Barequet-Rote, p. 260, the value DX(7, 6) = 134209 given by W. F. Lunnon is incorrect; it should be 153664, see A127670; this also affects A195762 which is the right-hand diagonal of this sequence. - Alexander Knapp, May 13 2013

LINKS

Table of n, a(n) for n=1..28.

R. Barequet, G. Barequet, and G. Rote, Formulae and growth rates of high-dimensional polycubes, Combinatorica 30 (2010), pp. 257-275.

W. F. Lunnon, Counting multidimensional polyominoes. Computer Journal 18 (1975), no. 4, pp. 366-367.

EXAMPLE

Triangle begins:

n\d 0 1 2 3 4 5 6 7

-------------------

1...1

2...0 1

3...0 1 4

4...0 1 17 32

5...0 1 61 348 400

6...0 1 214 2836 8640 6912

7...0 1 758 21225 129288 254800 134209

...

CROSSREFS

Columns give A006762, A006763, A006764, A195762. Cf. A195738, A049430.

Sequence in context: A189355 A221817 A054375 * A259938 A136452 A247703

Adjacent sequences:  A195736 A195737 A195738 * A195740 A195741 A195742

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Sep 23 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 3 21:14 EST 2016. Contains 278745 sequences.