Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A002047
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A002047 Number of 3 X (2n+1) zero-sum arrays.
(Formerly M1688 N0666)
+0
1
1, 2, 6, 28, 244, 2544, 35600, 659632, 15106128, 425802176 (list; graph; listen)
OFFSET

0,2

COMMENT

This can be interpreted as the number of ways to choose 2n+1 cells in a hexagonal grid of side n+1 such that no two are in the same row or left diagonal or right diagonal. - Alex Fink (a00(AT)shaw.ca), Mar 16 2005

REFERENCES

B. T. Bennett and R. B. Potts, Arrays and brooks, J. Austral. Math. Soc., 7 (1967), 23-31.

A. Kotzig and P. J. Laufer, When are permutations additive?, Amer. Math. Monthly, 85 (1978), 364-365.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

C. Bebeacua, T. Mansour, A. Postnikov and S. Severini, On the x-rays of permutations

EXAMPLE

a(2) = 6 corresponds to

..O.X.X.......X.X.O.......O.X.X.......X.O.X.......X.O.X.......X.X.O

.X.X.O.X.....X.O.X.X.....X.X.X.O.....X.X.X.O.....O.X.X.X.....O.X.X.X

X.X.X.X.O...O.X.X.X.X...X.O.X.X.X...O.X.X.X.X...X.X.X.X.O...X.X.X.O.X

.O.X.X.X.....X.X.X.O.....X.X.X.O.....X.O.X.X.....X.X.O.X.....O.X.X.X

..X.O.X.......X.O.X.......O.X.X.......X.X.O.......O.X.X.......X.X.O

CROSSREFS

Sequence in context: A006117 A118025 A119966 this_sequence A126340 A136639 A027109

Adjacent sequences: A002044 A002045 A002046 this_sequence A002048 A002049 A002050

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Alex Fink (a00(AT)shaw.ca), Mar 16 2005

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | The OEIS Foundation | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified March 20 09:10 EDT 2010. Contains 173642 sequences.


AT&T Labs Research