|
Search: id:A145411
|
|
|
| A145411 |
|
Number of Hamilton cycles in K_6 X P_n. |
|
+0
1
|
|
| 60, 12000, 1758360, 261136920, 38768711160, 5755703361240, 854506434905400, 126862210606868760, 18834288215839119480, 2796186594116563849560, 415129012549619965635000, 61631114827252880297037720
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154.
|
|
LINKS
|
F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.
F. Faase, Counting Hamilton cycles in product graphs.
F. Faase, Results from the counting program
|
|
FORMULA
|
Recurrence:
a(1) = 60,
a(2) = 12000,
a(3) = 1758360, and
a(n) = 145a(n-1) + 516a(n-2) - 288a(n-3).
G.f.: 60x(1+55x-210x^2)/(1-145x-512x^2+288x^3). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2009]
|
|
CROSSREFS
|
Sequence in context: A003750 A001525 A146513 this_sequence A113424 A009564 A001460
Adjacent sequences: A145408 A145409 A145410 this_sequence A145412 A145413 A145414
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Feb 03 2009
|
|
EXTENSIONS
|
More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 19 2009
|
|
|
Search completed in 0.002 seconds
|
