The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A279168 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
 0, 1, 1, 0, 0, 0, 3, 0, 0, 3, 3, 8, 16, 8, 3, 9, 24, 117, 117, 24, 9, 15, 88, 483, 864, 483, 88, 15, 31, 284, 2001, 5628, 5628, 2001, 284, 31, 57, 772, 7709, 34764, 57248, 34764, 7709, 772, 57, 108, 2000, 28139, 203226, 557163, 557163, 203226, 28139, 2000, 108, 199 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,7 COMMENTS Table starts ...0....1......0........3..........3............9.............15 ...1....0......0........8.........24...........88............284 ...0....0.....16......117........483.........2001...........7709 ...3....8....117......864.......5628........34764.........203226 ...3...24....483.....5628......57248.......557163........5159514 ...9...88...2001....34764.....557163......8426362......121098448 ..15..284...7709...203226....5159514....121098448.....2708250146 ..31..772..28139..1143396...45915548...1686053298....58954576326 ..57.2000..99519..6219491..396958758..22825771952..1248383818884 .108.5008.343156.33013384.3354431037.302051174586.25842455526113 LINKS R. H. Hardin, Table of n, a(n) for n = 1..161 FORMULA Empirical for column k: k=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6) k=2: [order 11] k=3: [order 33] for n>36 k=4: [order 84] for n>88 EXAMPLE Some solutions for n=4 k=4 ..0..1..1..1. .0..0..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..1 ..1..0..0..0. .1..1..0..1. .0..1..0..0. .1..0..0..1. .0..1..1..1 ..0..0..1..0. .0..0..1..1. .0..1..1..0. .1..0..1..1. .0..1..0..0 ..1..0..1..1. .1..0..1..0. .1..0..1..0. .1..0..0..0. .1..0..1..1 CROSSREFS Column 1 is A105423(n-2). Sequence in context: A267794 A282499 A216194 * A111787 A200524 A308223 Adjacent sequences:  A279165 A279166 A279167 * A279169 A279170 A279171 KEYWORD nonn,tabl AUTHOR R. H. Hardin, Dec 07 2016 STATUS approved

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

Last modified December 3 18:19 EST 2021. Contains 349467 sequences. (Running on oeis4.)