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 A266081 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal and vertical neighbors differing from itself by exactly one. 7
 1, 1, 1, 2, 1, 2, 1, 4, 4, 1, 1, 1, 4, 1, 1, 2, 1, 6, 6, 1, 2, 1, 4, 5, 5, 5, 4, 1, 1, 1, 12, 7, 7, 12, 1, 1, 2, 1, 10, 26, 29, 26, 10, 1, 2, 1, 4, 16, 23, 29, 29, 23, 16, 4, 1, 1, 1, 21, 35, 55, 78, 55, 35, 21, 1, 1, 2, 1, 31, 64, 115, 146, 146, 115, 64, 31, 1, 2, 1, 4, 42, 99, 221, 364, 466, 364 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts .1.1..2..1...1....2....1.....1......2......1.......1........2........1 .1.1..4..1...1....4....1.....1......4......1.......1........4........1 .2.4..4..6...5...12...10....16.....21.....31......42.......66.......89 .1.1..6..5...7...26...23....35.....64.....99.....161......276......431 .1.1..5..7..29...29...55...115....221....443.....851.....1659.....3318 .2.4.12.26..29...78..146...364....783...1773....4170.....9548....21795 .1.1.10.23..55..146..466..1155...3364...9229...25566....70308...196647 .1.1.16.35.115..364.1155..3907..12510..41683..136701...446548..1484311 .2.4.21.64.221..783.3364.12510..52773.196401..781997..3116201.12334789 .1.1.31.99.443.1773.9229.41683.196401.925875.4351555.20635583.96976290 LINKS R. H. Hardin, Table of n, a(n) for n = 1..264 FORMULA Empirical for column k: k=1: a(n) = a(n-3) k=2: a(n) = a(n-3) k=3: a(n) = a(n-1) +a(n-3) +a(n-6) -a(n-7) -a(n-9) k=4: [order 63] EXAMPLE All solutions for n=4 k=4 ..0..2..3..2....0..0..0..0....0..0..0..0....2..3..2..0....0..0..0..0 ..0..3..4..3....2..3..2..0....0..2..3..2....3..4..3..0....0..0..0..0 ..0..2..3..2....3..4..3..0....0..3..4..3....2..3..2..0....0..0..0..0 ..0..0..0..0....2..3..2..0....0..2..3..2....0..0..0..0....0..0..0..0 CROSSREFS Sequence in context: A208548 A157333 A002852 * A188440 A216327 A099875 Adjacent sequences: A266078 A266079 A266080 * A266082 A266083 A266084 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 20 2015 STATUS approved

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Last modified October 1 10:30 EDT 2023. Contains 365819 sequences. (Running on oeis4.)