A279327 T(n,k)=Number of nXk 0..2 arrays with no element equal to a strict majority of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

0, 0, 0, 2, 0, 2, 4, 16, 16, 4, 14, 152, 664, 152, 14, 40, 1536, 16092, 16092, 1536, 40, 120, 13776, 384180, 1079496, 384180, 13776, 120, 352, 118664, 8854880, 73482624, 73482624, 8854880, 118664, 352, 1032, 991616, 198179722, 4808164964

Offset

1,4

Comments

Table starts

....0........0...........2..............4..............14...............40

....0........0..........16............152............1536............13776

....2.......16.........664..........16092..........384180..........8854880

....4......152.......16092........1079496........73482624.......4808164964

...14.....1536......384180.......73482624.....14012963052....2584102824124

...40....13776.....8854880.....4808164964...2584102824124.1348916804333952

..120...118664...198179722...306703795184.466109368455794

..352...991616..4349449420.19222109104916

.1032..8109024.94030021118

.3008.65252928

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: a(n) = 4*a(n-1) -8*a(n-3) -4*a(n-4) for n>5

k=2: [order 10]

k=3: [order 34] for n>35

Example

Some solutions for n=3 k=4
..0..0..1..0. .0..1..2..0. .0..1..2..1. .0..1..0..1. .0..1..2..0
..0..1..2..1. .0..0..2..1. .2..2..0..0. .0..2..1..2. .1..2..0..0
..2..2..0..1. .2..1..1..2. .1..2..1..0. .1..0..1..1. .0..2..2..1

Crossrefs

Sequence in context: A079550 A226430 A067648 * A052438 A324045 A358405

Adjacent sequences: A279324 A279325 A279326 * A279328 A279329 A279330

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 09 2016

Status

approved