|
Search: id:A158344
|
|
|
| A158344 |
|
Number of n-colorings of the Folkman Graph. |
|
+0
1
|
|
| 0, 0, 2, 18648, 45718044, 22839203000, 3322954977390, 196998967990272, 6100155102337688, 116724860607772944, 1546577491554833850, 15357702814950199880, 120959689823708363892, 787872289121987384328
(list; graph; listen)
|
|
|
OFFSET
|
0,3
|
|
|
COMMENT
|
The Folkman Graph has 20 vertices and 40 edges.
|
|
LINKS
|
Weisstein, Eric W. "Folkman Graph".
Weisstein, Eric W. "Chromatic Polynomial".
Timme, Marc; van Bussel, Frank; Fliegner, Denny; Stolzenberg, Sebastian (2009) "Counting complex disordered states by efficient pattern matching: chromatic polynomials and Potts partition functions", New J. Phys. 11 023001, doi: 10.1088/1367-2630/11/2/023001.
|
|
FORMULA
|
a(n) = n^20 -40*n^19 + ... (see Maple program).
|
|
MAPLE
|
a:= n-> n^20 -40*n^19 +780*n^18 -9850*n^17 +90300*n^16 -638683*n^15 +3616080*n^14 -16782060*n^13 +64834630*n^12 -210500726*n^11 +577081604*n^10 -1336290915*n^9 +2602586625*n^8 -4222943355*n^7 +5616671680*n^6 -5968728608*n^5 +4868919865*n^4 -2855170950*n^3 +1066503307*n^2 -189239685*n: seq (a(n), n=0..30);
|
|
CROSSREFS
|
Sequence in context: A070832 A151599 A159730 this_sequence A124364 A123692 A132942
Adjacent sequences: A158341 A158342 A158343 this_sequence A158345 A158346 A158347
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Alois P. Heinz (heinz(AT)hs-heilbronn.de), Mar 16 2009
|
|
|
Search completed in 0.002 seconds
|
