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A231227 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no element unequal to a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order 8
1, 2, 2, 3, 4, 3, 6, 8, 8, 6, 11, 17, 21, 17, 11, 22, 45, 54, 54, 45, 22, 43, 103, 185, 182, 185, 103, 43, 86, 264, 552, 812, 812, 552, 264, 86, 171, 676, 1799, 2962, 4298, 2962, 1799, 676, 171, 342, 1724, 5900, 12179, 19935, 19935, 12179, 5900, 1724, 342, 683, 4501 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Table starts

...1....2.....3......6.......11........22.........43.........86........171

...2....4.....8.....17.......45.......103........264........676.......1724

...3....8....21.....54......185.......552.......1799.......5900......19185

...6...17....54....182......812......2962......12179......50196.....205057

..11...45...185....812.....4298.....19935.....102113.....524113....2687777

..22..103...552...2962....19935....117178.....748665....4870988...31483476

..43..264..1799..12179...102113....748665....5930126...48317804..390225796

..86..676..5900..50196...524113...4870988...48317804..495739986.5038813008

.171.1724.19185.205057..2687777..31483476..390225796.5038813008

.342.4501.63834.864270.14197596.210326324.3267809753

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=1: a(n) = 2*a(n-1) +a(n-2) -2*a(n-3)

k=2: [order 11]

k=3: [order 13]

k=4: [order 96]

EXAMPLE

Some solutions for n=5 k=4

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

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

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

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

..0..0..1..1..2..2....0..0..0..0..1..1....0..0..1..1..0..0....2..2..1..1..0..0

..0..0..0..2..2..2....0..0..0..0..1..1....0..0..0..0..0..0....2..2..2..0..0..0

..0..0..0..2..2..2....0..0..0..0..1..1....0..0..0..0..0..0....2..2..2..0..0..0

CROSSREFS

Column 1 is A005578

Sequence in context: A155706 A317533 A343299 * A231441 A284199 A284165

Adjacent sequences:  A231224 A231225 A231226 * A231228 A231229 A231230

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 05 2013

STATUS

approved

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Last modified August 12 10:16 EDT 2022. Contains 356069 sequences. (Running on oeis4.)