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 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 Table of n, a(n) for n=1..45. 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 Adjacent sequences: A303111 A303112 A303113 * A303115 A303116 A303117 KEYWORD nonn,tabl AUTHOR Andrew Howroyd, Apr 18 2018 STATUS approved

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