OFFSET
4,1
COMMENTS
Total domination number of n X n knight graph.
Distinct from A006075 since here all squares must be attacked, whereas, in A006075, all squares are either attacked or occupied.
a(34) = 182, a(36) = 202, a(38) = 224. - Andy Huchala, Jun 04 2021
LINKS
Matthew Conroy, Examples of minimum knight arrangements, n = 4 through n = 14
Andy Huchala, Python program
Giovanni Resta, Examples of minimum knight arrangements, from n = 15 to n = 18
Eric Weisstein's World of Mathematics, Knight Graph
Eric Weisstein's World of Mathematics, Total Domination Number
EXAMPLE
An example for the 4 X 4 case:
....
.NNN
.N..
NN..
and for the 5 x 5 case:
.....
..N..
.NN..
NNN..
N....
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Matthew Conroy, Aug 31 2015
EXTENSIONS
a(15)-a(18) from Giovanni Resta, Aug 31 2015
a(19)-a(26) from Andy Huchala, Oct 16 2017
a(27)-a(30) from Andy Huchala, Oct 18 2017
a(31)-a(32) from Andy Huchala, Jun 04 2021
STATUS
approved