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 A230940 T(n,k)=Number of white-square subarrays of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero 5
 0, 2, 2, 2, 6, 2, 8, 16, 16, 8, 8, 48, 34, 48, 8, 42, 146, 232, 232, 146, 42, 42, 438, 522, 1242, 522, 438, 42, 208, 1312, 3768, 6896, 6896, 3768, 1312, 208, 208, 3936, 8450, 37984, 28216, 37984, 8450, 3936, 208, 1042, 11810, 60824, 208172, 396950, 396950 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Table starts ...0....2.....2.......8........8........42.........42..........208 ...2....6....16......48......146.......438.......1312.........3936 ...2...16....34.....232......522......3768.......8450........60824 ...8...48...232....1242.....6896.....37984.....208172......1142054 ...8..146...522....6896....28216....396950....1604098.....22368688 ..42..438..3768...37984...396950...4092246...41991510....431437274 ..42.1312..8450..208172..1604098..41991510..318984080...8279222070 .208.3936.60824.1142054.22368688.431437274.8279222070.159130979900 LINKS R. H. Hardin, Table of n, a(n) for n = 1..241 FORMULA Empirical for column k: k=1: a(n) = 4*a(n-2) +5*a(n-4) k=2: a(n) = 3*a(n-1) -a(n-2) +3*a(n-3) k=3: a(n) = 16*a(n-2) +3*a(n-4) -10*a(n-6) +24*a(n-8) -16*a(n-10) k=4: [order 17] k=5: [order 44] k=6: [order 71] EXAMPLE Some solutions for n=4 k=4 ..0..x..0..x..0..x....0..x..0..x..3..x....0..x..0..x..2..x....0..x..0..x..0..x ..x..1..x..3..x..1....x..1..x..2..x..0....x..1..x..3..x..1....x..1..x..1..x..3 ..2..x..0..x..2..x....2..x..0..x..1..x....2..x..2..x..0..x....2..x..2..x..0..x ..x..3..x..3..x..3....x..3..x..3..x..3....x..3..x..1..x..3....x..3..x..3..x..3 ..2..x..2..x..0..x....2..x..2..x..0..x....2..x..0..x..2..x....0..x..2..x..0..x ..x..1..x..1..x..3....x..1..x..1..x..3....x..3..x..1..x..1....x..1..x..1..x..3 CROSSREFS Column 1 is A230928 Column 2 is A230929 Column 4 is A230931 Column 6 is A230933 Sequence in context: A285713 A278230 A344859 * A110512 A078020 A339091 Adjacent sequences: A230937 A230938 A230939 * A230941 A230942 A230943 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 01 2013 STATUS approved

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Last modified May 20 14:08 EDT 2024. Contains 372717 sequences. (Running on oeis4.)