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A280180 T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. 7
0, 1, 1, 0, 2, 0, 3, 12, 12, 3, 3, 41, 60, 41, 3, 9, 103, 279, 279, 103, 9, 15, 263, 1082, 1633, 1082, 263, 15, 31, 656, 3931, 8759, 8759, 3931, 656, 31, 57, 1618, 13720, 43094, 63336, 43094, 13720, 1618, 57, 108, 3931, 46467, 202693, 421214, 421214, 202693, 46467 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

...0....1......0........3.........3...........9...........15.............31

...1....2.....12.......41.......103.........263..........656...........1618

...0...12.....60......279......1082........3931........13720..........46467

...3...41....279.....1633......8759.......43094.......202693.........919058

...3..103...1082.....8759.....63336......421214......2665301.......16203600

...9..263...3931....43094....421214.....3755997.....31821879......258976696

..15..656..13720...202693...2665301....31821879....359880117.....3910652938

..31.1618..46467...919058..16203600...258976696...3910652938....56789421603

..57.3931.153650..4057457..95738359..2046791216..41205820599...798794739075

.108.9459.499289.17554353.553426602.15814457993.424186764568.10974204206787

LINKS

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

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 10] for n>14

k=3: [order 21] for n>28

k=4: [order 45] for n>54

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A105423(n-2).

Sequence in context: A121065 A077928 A105418 * A337995 A337994 A135433

Adjacent sequences:  A280177 A280178 A280179 * A280181 A280182 A280183

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 28 2016

STATUS

approved

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Last modified July 2 21:48 EDT 2022. Contains 355029 sequences. (Running on oeis4.)