|
| |
|
|
A191092
|
|
Number of n-cell polycubes that are proper in n-3 dimensions
|
|
3
|
|
|
|
0, 1, 61, 2836, 129288, 6160640, 313921008, 17239040000, 1021644763392, 65244849242112, 4477975127425280, 329252714454974464, 25850313756000000000, 2160223055912342913024, 191558954408834121740288, 17973564914103712921681920
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
3,3
|
|
|
REFERENCES
|
A. Asinowski, G. Barequet, R. Barequet, and G. Rote, Proper n-cell polycubes in n-3 dimensions, Proc. 17th Ann. Int. Computing and Combinatorics Conference, Dallas, TX, Lecture Notes in Computer Science, 6842, Springer-Verlag, 180-191, August 2011.
R. Barequet, G. Barequet, and G. Rote, Formulae and growth rates of high-dimensional polycubes, Combinatorica, 30 (2010), 257-275.
|
|
|
LINKS
|
Vincenzo Librandi, Table of n, a(n) for n = 3..100
|
|
|
FORMULA
|
a(n) = 2^(n-6)*n^(n-7)*(n-3)*(12*n^5-104*n^4+360*n^3-679*n^2+1122*n-1560)/3.
|
|
|
PROG
|
(PARI) a(n)=2^(n-6)*n^(n-7)*(n-3)*(12*n^5-104*n^4+360*n^3-679*n^2+1122*n-1560)/3
(MAGMA) [2^(n-6)*n^(n-7)*(n-3)*(12*n^5-104*n^4+360*n^3-679*n^2+1122*n-1560)/3: n in [3..40]]; Vincenzo Librandi, May 26 2011
|
|
|
CROSSREFS
|
Cf. A127670, A171860.
Sequence in context: A224441 A078962 A000508 * A135647 A207231 A207224
Adjacent sequences: A191089 A191090 A191091 * A191093 A191094 A191095
|
|
|
KEYWORD
|
nonn,easy
|
|
|
AUTHOR
|
Gill Barequet, May 25 2011
|
|
|
EXTENSIONS
|
More terms from Vincenzo Librandi, May 26 2011
Pub info added by Gill Barequet, Oct 29 2011
|
|
|
STATUS
|
approved
|
| |
|
|
