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 A241078 T(n,k)=Number of nXk 0..2 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..2 introduced in row major order 6
 1, 1, 1, 2, 4, 2, 4, 12, 12, 4, 8, 39, 67, 39, 8, 16, 131, 386, 386, 131, 16, 32, 444, 2333, 4191, 2333, 444, 32, 64, 1516, 14438, 47974, 47974, 14438, 1516, 64, 128, 5195, 90729, 572023, 1086791, 572023, 90729, 5195, 128, 256, 17847, 576616, 6996566, 25619209 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Table starts ...1.....1........2...........4.............8..............16..............32 ...1.....4.......12..........39...........131.............444............1516 ...2....12.......67.........386..........2333...........14438...........90729 ...4....39......386........4191.........47974..........572023.........6996566 ...8...131.....2333.......47974.......1086791........25619209.......619056332 ..16...444....14438......572023......25619209......1198954342.....57218949061 ..32..1516....90729.....6996566.....619056332.....57218949061...5383469756516 ..64..5195...576616....86779948...15142087661...2755743447572.510116487796210 .128.17847..3692697..1085281623..372666202588.133330360329762 .256.61424.23768052.13635536887.9201018090832 LINKS R. H. Hardin, Table of n, a(n) for n = 1..112 FORMULA Empirical for column k: k=1: a(n) = 2*a(n-1) for n>2 k=2: a(n) = 6*a(n-1) -8*a(n-2) -4*a(n-3) +a(n-4) +14*a(n-5) -8*a(n-6) for n>7 k=3: [order 20] for n>21 k=4: [order 96] for n>97 EXAMPLE Some solutions for n=4 k=4 ..0..0..0..1....0..1..0..2....0..1..1..0....0..1..2..2....0..1..0..1 ..0..0..0..0....2..0..2..0....1..1..1..2....1..0..2..2....2..0..1..0 ..0..2..1..0....1..2..1..1....1..1..1..1....0..2..1..0....1..2..0..2 ..0..0..0..0....2..0..1..1....0..1..1..1....2..1..2..1....2..1..2..1 CROSSREFS Column 1 is A000079(n-2) Sequence in context: A241108 A151706 A055372 * A198285 A136620 A139548 Adjacent sequences: A241075 A241076 A241077 * A241079 A241080 A241081 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Apr 15 2014 STATUS approved

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Last modified September 9 01:17 EDT 2024. Contains 375759 sequences. (Running on oeis4.)