The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A231108 T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally 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 12
 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 6, 8, 0, 0, 0, 20, 48, 42, 0, 0, 0, 68, 286, 438, 208, 0, 0, 0, 230, 1748, 4674, 3936, 1042, 0, 0, 0, 778, 10734, 53530, 75346, 35430, 5208, 0, 0, 0, 2632, 65934, 616562, 1608428, 1217338, 318864, 26042, 0, 0, 0, 8904, 404984, 7084870 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Table starts .0.0.....0.......0.........0...........0.............0...............0 .0.0.....2.......6........20..........68...........230.............778 .0.0.....8......48.......286........1748.........10734...........65934 .0.0....42.....438......4674.......53530........616562.........7084870 .0.0...208....3936.....75346.....1608428......34716434.......745738376 .0.0..1042...35430...1217338....48463174....1961000570.....78805506362 .0.0..5208..318864..19662930..1459796386..110728004898...8325135556908 .0.0.26042.2869782.317613674.43973372728.6252665856636.879549454424322 LINKS R. H. Hardin, Table of n, a(n) for n = 1..179 FORMULA Empirical for column k: k=3: a(n) = 4*a(n-1) +5*a(n-2) k=4: a(n) = 8*a(n-1) +9*a(n-2) k=5: a(n) = 14*a(n-1) +35*a(n-2) -4*a(n-3) +4*a(n-4) +32*a(n-5) -32*a(n-6) k=6: [order 17] for n>18 k=7: [order 32] for n>34 Empirical for row n: n=2: a(n) = 3*a(n-1) +a(n-2) +a(n-3) n=3: [order 12] for n>16 n=4: [order 51] for n>56 EXAMPLE Some solutions for n=4 k=4 ..0..1..0..3....0..1..0..1....0..1..2..1....0..1..2..1....0..1..0..3 ..2..3..2..3....2..3..2..0....0..3..0..3....0..3..2..1....2..3..1..2 ..0..1..0..3....2..0..1..0....0..1..2..1....2..1..0..1....2..0..3..2 ..0..3..2..1....3..2..3..2....0..3..2..1....0..3..2..1....3..0..1..0 CROSSREFS Row 2 is A231057(n-1) Sequence in context: A028973 A066503 A057385 * A231285 A268729 A182317 Adjacent sequences: A231105 A231106 A231107 * A231109 A231110 A231111 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 03 2013 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 23 18:59 EDT 2024. Contains 372765 sequences. (Running on oeis4.)