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 A278280 T(n,k) = Number of n X k 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. 14
 0, 0, 0, 0, 2, 0, 0, 4, 5, 0, 0, 13, 25, 16, 0, 0, 36, 122, 136, 49, 0, 0, 109, 661, 1461, 839, 153, 0, 0, 317, 3723, 15728, 16842, 5013, 476, 0, 0, 938, 20736, 172091, 350649, 196726, 30370, 1483, 0, 0, 2754, 115446, 1870365, 7466627, 7974561, 2293193 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS Table starts .0.....0.......0..........0.............0................0..................0 .0.....2.......4.........13............36..............109................317 .0.....5......25........122...........661.............3723..............20736 .0....16.....136.......1461.........15728...........172091............1870365 .0....49.....839......16842........350649..........7466627..........157609938 .0...153....5013.....196726.......7974561........329985827........13538466880 .0...476...30370....2293193.....180592726......14526103064......1158266740087 .0..1483..183403...26748095....4093629985.....640011857446.....99182079495633 .0..4619.1108525..311952675...92770708201...28192246592564...8491049196878995 .0.14388.6699034.3638315600.2102508396678.1241921389868057.726961954823301592 LINKS R. H. Hardin, Table of n, a(n) for n = 1..287 FORMULA Empirical for column k: k=2: a(n) = 3*a(n-1) +a(n-2) -2*a(n-3) for n>4. k=3: a(n) = 6*a(n-1) +3*a(n-2) -17*a(n-3) +19*a(n-5) -16*a(n-6) +8*a(n-7) for n>9. k=4: [order 17] for n>19. k=5: [order 44] for n>46. k=6: [order 98] for n>101. Empirical for row n: n=2: a(n) = 2*a(n-1) +3*a(n-2) -a(n-3) +a(n-4). n=3: [order 16]. n=4: [order 40]. EXAMPLE Some solutions for n=4, k=4 ..0..1..1..0. .0..1..0..1. .0..1..1..1. .0..1..0..1. .0..1..1..0 ..0..0..1..0. .0..1..0..1. .0..0..0..0. .0..1..0..1. .0..0..1..0 ..0..1..1..1. .0..1..0..1. .1..1..1..0. .0..0..0..1. .0..1..1..0 ..0..0..0..0. .1..0..1..1. .1..0..0..1. .0..1..1..1. .1..0..0..1 CROSSREFS Sequence in context: A117434 A131742 A257813 * A351403 A213370 A244138 Adjacent sequences: A278277 A278278 A278279 * A278281 A278282 A278283 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 16 2016 STATUS approved

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Last modified December 2 16:07 EST 2023. Contains 367524 sequences. (Running on oeis4.)