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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. 6
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 (list; table; graph; refs; listen; history; text; internal format)
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 A209701

Adjacent sequences:  A279324 A279325 A279326 * A279328 A279329 A279330

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 09 2016

STATUS

approved

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Last modified September 20 05:34 EDT 2021. Contains 347577 sequences. (Running on oeis4.)