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A300358 Array read by antidiagonals: T(m,n) = total domination number of the grid graph P_m X P_n. 5
1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 6, 6, 8, 8, 6, 6, 4, 5, 6, 7, 8, 9, 8, 7, 6, 5, 6, 6, 8, 10, 10, 10, 10, 8, 6, 6, 6, 8, 9, 12, 12, 12, 12, 12, 9, 8, 6, 6, 8, 10, 12, 14, 14, 14, 14, 12, 10, 8, 6, 7, 8, 11, 14, 15, 16, 15, 16, 15, 14, 11, 8, 7 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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 Domination Number

EXAMPLE

Table begins:

=======================================================

m\n| 1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16

---+---------------------------------------------------

1  | 1  2  2  2  3  4  4  4  5  6  6  6  7  8  8  8 ...

2  | 2  2  2  4  4  4  6  6  6  8  8  8 10 10 10 12 ...

3  | 2  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 ...

4  | 2  4  4  6  8  8 10 12 12 14 14 16 18 18 20 20 ...

5  | 3  4  5  8  9 10 12 14 15 16 18 20 21 22 24 26 ...

6  | 4  4  6  8 10 12 14 16 18 20 20 24 24 26 28 30 ...

7  | 4  6  7 10 12 14 15 18 20 22 24 26 27 30 32 34 ...

8  | 4  6  8 12 14 16 18 20 22 24 28 30 32 34 36 38 ...

9  | 5  6  9 12 15 18 20 22 25 28 30 32 35 38 40 42 ...

...

CROSSREFS

Rows 1..2 are A004524(n+2), A302402.

Main diagonal is A302488.

Cf. A303111, A303118, A303293.

Sequence in context: A167383 A167661 A187187 * A102682 A116371 A103377

Adjacent sequences:  A300355 A300356 A300357 * A300359 A300360 A300361

KEYWORD

nonn,tabl

AUTHOR

Andrew Howroyd, Apr 20 2018

STATUS

approved

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Last modified May 31 06:22 EDT 2020. Contains 334747 sequences. (Running on oeis4.)