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 A232076 T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every element equal to some horizontal, diagonal or antidiagonal neighbor, with top left element zero 15
 3, 15, 11, 46, 87, 34, 161, 520, 602, 111, 601, 3681, 6624, 3985, 361, 2208, 26587, 91636, 82996, 26713, 1172, 8053, 189404, 1313477, 2265691, 1043172, 178484, 3809, 29415, 1348429, 18480458, 64298979, 56126173, 13105012, 1193537, 12377, 107534 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts ......3........15...........46.............161................601 .....11........87..........520............3681..............26587 .....34.......602.........6624...........91636............1313477 ....111......3985........82996.........2265691...........64298979 ....361.....26713......1043172........56126173.........3154769585 ...1172....178484.....13105012......1389867384.......154723539035 ...3809...1193537....164650280.....34420057373......7588839921175 ..12377...7979619...2068621706....852404560481....372212311236497 ..40218..53352090..25989674166..21109624812630..18256039956940439 .130687.356709629.326528021922.522775448585677.895410839428587845 LINKS R. H. Hardin, Table of n, a(n) for n = 1..199 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) +a(n-2) -2*a(n-4) k=2: a(n) = 5*a(n-1) +11*a(n-2) +2*a(n-3) -8*a(n-5) k=3: [order 10] k=4: [order 30] k=5: [order 50] Empirical for row n: n=1: a(n) = 3*a(n-1) +a(n-2) +4*a(n-3) +4*a(n-4) n=2: [order 8] n=3: [order 20] n=4: [order 54] EXAMPLE Some solutions for n=3 k=4 ..0..0..1..1..0....0..0..1..1..1....0..0..0..1..1....0..1..0..0..1 ..0..0..0..0..0....1..1..0..0..0....0..0..0..1..0....1..0..0..1..1 ..0..0..1..1..1....1..0..0..0..0....0..0..0..0..0....1..1..0..0..1 ..1..1..1..1..1....0..0..1..1..1....1..1..1..1..0....1..0..0..1..0 CROSSREFS Column 1 is A180762(n+1) Sequence in context: A337471 A145179 A297897 * A329770 A099476 A063628 Adjacent sequences:  A232073 A232074 A232075 * A232077 A232078 A232079 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 17 2013 STATUS approved

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Last modified August 4 10:03 EDT 2021. Contains 346446 sequences. (Running on oeis4.)