login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A303114 Array read by antidiagonals: T(m,n) = number of total dominating sets in the n X m king graph. 5
0, 1, 1, 3, 11, 3, 4, 47, 47, 4, 5, 165, 353, 165, 5, 9, 625, 2545, 2545, 625, 9, 16, 2435, 19651, 35458, 19651, 2435, 16, 25, 9367, 150719, 538977, 538977, 150719, 9367, 25, 39, 35901, 1149593, 8213971, 16322279, 8213971, 1149593, 35901, 39 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
LINKS
Eric Weisstein's World of Mathematics, King Graph
Eric Weisstein's World of Mathematics, Total Dominating Set
EXAMPLE
Table begins:
============================================================================
m\n| 1 2 3 4 5 6 7
---|------------------------------------------------------------------------
1 | 0 1 3 4 5 9 16 ...
2 | 1 11 47 165 625 2435 9367 ...
3 | 3 47 353 2545 19651 150719 1149593 ...
4 | 4 165 2545 35458 538977 8213971 124153394 ...
5 | 5 625 19651 538977 16322279 496873689 14980146565 ...
6 | 9 2435 150719 8213971 496873689 30158547693 1812834702647 ...
7 | 16 9367 1149593 124153394 14980146565 1812834702647 217221533288240 ...
...
CROSSREFS
Rows 1..2 are A195971(n-1), A219079.
Main diagonal is A303116.
Cf. A218663 (dominating sets), A291873 (connected dominating sets).
Cf. A303111 (grid graph).
Sequence in context: A110221 A244237 A238683 * A359990 A170856 A176781
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Apr 18 2018
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 25 05:51 EDT 2024. Contains 374586 sequences. (Running on oeis4.)