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A279977 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 14
0, 1, 0, 0, 3, 0, 3, 9, 9, 0, 3, 24, 50, 31, 0, 9, 62, 221, 296, 108, 0, 15, 134, 822, 1922, 1650, 366, 0, 31, 277, 2669, 10491, 15511, 8666, 1205, 0, 57, 542, 8068, 50690, 124030, 118857, 43543, 3873, 0, 108, 1035, 23169, 226771, 887491, 1393359, 876704, 211650 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0.....1.......0.........3...........3............9.............15

.0.....3.......9........24..........62..........134............277

.0.....9......50.......221.........822.........2669...........8068

.0....31.....296......1922.......10491........50690.........226771

.0...108....1650.....15511......124030.......887491........5870751

.0...366....8666....118857.....1393359.....14787217......144819856

.0..1205...43543....876704....15071233....237386464.....3444870482

.0..3873..211650...6281773...158391708...3703836674....79672440007

.0.12207.1002602..43997218..1627160233..56499013470..1801951754910

.0.37859.4652327.302544617.16409869901.846166990079.40020022178950

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..198

FORMULA

Empirical for column k:

k=1: a(n) = a(n-1)

k=2: a(n) = 9*a(n-1) -30*a(n-2) +45*a(n-3) -30*a(n-4) +9*a(n-5) -a(n-6)

k=3: [order 9] for n>10

k=4: [order 24]

k=5: [order 38] for n>39

k=6: [order 96] for n>97

Empirical for row n:

n=1: a(n) = 3*a(n-1) -5*a(n-3) +3*a(n-5) +a(n-6)

n=2: [order 8] for n>10

n=3: [order 24] for n>30

n=4: [order 68] for n>78

EXAMPLE

Some solutions for n=4 k=4

..0..1..0..0. .0..1..0..0. .0..1..0..1. .0..0..1..0. .0..1..0..1

..0..0..1..0. .0..1..1..0. .0..1..0..0. .1..0..1..0. .1..0..1..1

..1..1..1..1. .0..0..1..1. .1..0..1..1. .0..1..0..1. .1..0..1..1

..1..0..0..1. .0..0..1..0. .0..0..0..1. .1..0..0..1. .0..1..0..1

CROSSREFS

Row 1 is A105423(n-2).

Sequence in context: A117078 A021333 A104141 * A060533 A177785 A212036

Adjacent sequences:  A279974 A279975 A279976 * A279978 A279979 A279980

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 24 2016

STATUS

approved

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Last modified November 18 07:22 EST 2019. Contains 329252 sequences. (Running on oeis4.)