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A303118 Array read by antidiagonals: T(m,n) = number of minimal total dominating sets in the grid graph P_m X P_n. 8
0, 1, 1, 2, 4, 2, 1, 4, 4, 1, 2, 16, 6, 16, 2, 4, 16, 49, 49, 16, 4, 3, 49, 66, 169, 66, 49, 3, 4, 81, 225, 576, 576, 225, 81, 4, 8, 169, 640, 2601, 2622, 2601, 640, 169, 8, 9, 324, 1681, 10000, 14400, 14400, 10000, 1681, 324, 9, 10, 625, 4641, 38416, 81055, 137641, 81055, 38416, 4641, 625, 10 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,4
LINKS
Andrew Howroyd, Table of n, a(n) for n = 1..435 (first 29 antidiagonals)
Eric Weisstein's World of Mathematics, Grid Graph
Eric Weisstein's World of Mathematics, Total Dominating Set
EXAMPLE
Table begins:
=============================================================
m\n| 1 2 3 4 5 6 7 8
---+---------------------------------------------------------
1 | 0 1 2 1 2 4 3 4 ...
2 | 1 4 4 16 16 49 81 169 ...
3 | 2 4 6 49 66 225 640 1681 ...
4 | 1 16 49 169 576 2601 10000 38416 ...
5 | 2 16 66 576 2622 14400 81055 440896 ...
6 | 4 49 225 2601 14400 137641 1081600 8185321 ...
7 | 3 81 640 10000 81055 1081600 11458758 125955729 ...
8 | 4 169 1681 38416 440896 8185321 125955729 1944369025 ...
...
CROSSREFS
Rows 1..2 are A302655, A303072.
Main diagonal is A303161.
Sequence in context: A364608 A105791 A116515 * A037178 A352650 A364038
KEYWORD
nonn,tabl
AUTHOR
Andrew Howroyd, Apr 18 2018
STATUS
approved

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Last modified July 13 02:50 EDT 2024. Contains 374265 sequences. (Running on oeis4.)