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A279466 T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. 7
0, 0, 0, 2, 2, 2, 2, 6, 6, 2, 5, 20, 33, 20, 5, 8, 66, 180, 180, 66, 8, 15, 210, 1024, 1722, 1024, 210, 15, 26, 658, 5228, 15484, 15484, 5228, 658, 26, 46, 2036, 26670, 129914, 223261, 129914, 26670, 2036, 46, 80, 6236, 134438, 1079792, 3086910, 3086910 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

..0.....0.......2.........2...........5..............8...............15

..0.....2.......6........20..........66............210..............658

..2.....6......33.......180........1024...........5228............26670

..2....20.....180......1722.......15484.........129914..........1079792

..5....66....1024.....15484......223261........3086910.........41706415

..8...210....5228....129914.....3086910.......69493918.......1529974962

.15...658...26670...1079792....41706415.....1529974962......54755104784

.26..2036..134438...8845592...555052466....33126514762....1926654903560

.46..6236..670407..71540206..7290902341...707716447612...66854006751350

.80.18928.3310176.572555634.94741575142.14949807134092.2293311539588776

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3) -a(n-4) for n>5

k=2: [order 10]

k=3: [order 36]

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A006367(n-1).

Sequence in context: A238413 A151704 A110023 * A116863 A136494 A260188

Adjacent sequences:  A279463 A279464 A279465 * A279467 A279468 A279469

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 12 2016

STATUS

approved

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Last modified January 19 08:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)