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!)
 A232137 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with values 0..2 introduced in row major order 15
 6, 36, 44, 200, 728, 328, 1140, 10956, 14752, 2448, 6468, 169692, 602468, 298912, 18272, 36752, 2616952, 25364480, 33162868, 6056640, 136384, 208772, 40399768, 1063744484, 3795674252, 1825568436, 122721280, 1017984, 1186044, 623543776 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Table starts .....6......36........200.........1140............6468.............36752 ....44.....728......10956.......169692.........2616952..........40399768 ...328...14752.....602468.....25364480......1063744484.......44671124016 ..2448..298912...33162868...3795674252....433383414596....49550984711452 .18272.6056640.1825568436.568008109436.176569302110496.54960219182423136 LINKS R. H. Hardin, Table of n, a(n) for n = 1..143 FORMULA Empirical for column k: k=1: a(n) = 8*a(n-1) -4*a(n-2) k=2: a(n) = 22*a(n-1) -36*a(n-2) +16*a(n-3) k=3: [order 8] k=4: [order 14] k=5: [order 34] for n>36 Empirical for row n: n=1: a(n) = 6*a(n-1) -11*a(n-3) +4*a(n-4) n=2: [order 17] n=3: [order 76] for n>77 EXAMPLE Some solutions for n=2 k=4 ..0..1..2..0..1....0..1..2..0..1....0..1..2..1..0....0..1..2..0..0 ..0..0..1..2..1....0..0..2..0..2....1..0..2..0..2....0..0..2..2..1 ..1..2..1..0..2....0..2..0..1..2....1..2..1..2..0....2..0..2..1..2 CROSSREFS Column 1 is A102591 Sequence in context: A043063 A348384 A328466 * A008460 A132633 A372945 Adjacent sequences: A232134 A232135 A232136 * A232138 A232139 A232140 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Nov 19 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 June 17 08:51 EDT 2024. Contains 373444 sequences. (Running on oeis4.)