A303049 -id:A303049 - cp's OEIS frontend

A287064 Number of dominating sets in the n-triangular grid graph.

1, 7, 45, 685, 20409, 1201941, 141147379, 32952001519, 15299378914117, 14127550190798059, 25944752255914338751, 94759724685920514675099, 688318811614248548827285461, 9943676783895971991257124086453, 285690558616920990681823749334591359, 16324365307318944099676240468111164604873

Offset: 0

Eric W. Weisstein, May 19 2017

nonn

Andrew Howroyd, Table of n, a(n) for n = 0..20
Eric Weisstein's World of Mathematics, Dominating Set
Eric Weisstein's World of Mathematics, Triangular Grid Graph

Cf. A251419, A288721, A297572, A303049.

a(7)-a(11) from Andrew Howroyd, May 21 2017

Terms a(12) and beyond from Andrew Howroyd, Apr 18 2018

A302486 Total domination number of the n-triangular grid graph.

Original entry on oeis.org

2, 2, 4, 5, 6, 8, 10, 12, 15, 17, 20, 23, 26, 30, 33, 36, 40, 45, 49, 54, 58, 63, 69, 74

Offset: 1

Eric W. Weisstein, Apr 08 2018

Eric Weisstein's World of Mathematics, Total Domination Number
Eric Weisstein's World of Mathematics, Triangular Grid Graph

Cf. A251419, A303049.

a(n) ~ n^2/10. - Andrew Howroyd, May 20 2018

a(11)-a(15) from Andrew Howroyd, Apr 18 2018
a(16)-a(17) from Eric W. Weisstein, Apr 18 2018
a(18) from Eric W. Weisstein, Apr 20 2018
a(19) from Andrew Howroyd, May 19 2018
a(20)-a(24) from Eric W. Weisstein, Sep 22-23 2021

A303228 Number of minimal total dominating sets in the n-triangular grid graph.

Original entry on oeis.org

3, 3, 22, 205, 1059, 18827, 368770, 10154157, 431120602

Offset: 1

Eric W. Weisstein, Apr 20 2018

Eric Weisstein's World of Mathematics, Minimal Total Dominating Set.
Eric Weisstein's World of Mathematics, Triangular Grid Graph.

Cf. A302486, A303049, A304562.

a(7)-a(10) from Andrew Howroyd, Apr 20 2018

A304562 Number of minimum total dominating sets in the n-triangular grid graph.

Original entry on oeis.org

3, 3, 20, 9, 22, 18, 6, 335, 6816, 24, 11346, 1824, 1584, 1398091, 6462, 64, 144, 135150, 4464

Offset: 1

Eric W. Weisstein, May 14 2018

Eric Weisstein's World of Mathematics, Minimum Total Dominating Set.
Eric Weisstein's World of Mathematics, Triangular Grid Graph.

Cf. A302486, A303049, A303228.

a(7)-a(19) from Andrew Howroyd, May 19 2018

cp's OEIS Frontend

A287064 Number of dominating sets in the n-triangular grid graph.

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A302486 Total domination number of the n-triangular grid graph.

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A303228 Number of minimal total dominating sets in the n-triangular grid graph.

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A304562 Number of minimum total dominating sets in the n-triangular grid graph.

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