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A231785 T(n,k)=Number of nXk 0..2 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to itself plus one mod 3, with upper left element zero (rock paper and scissors drawn positions) 8
1, 1, 1, 3, 17, 3, 8, 74, 74, 8, 21, 315, 854, 315, 21, 55, 1343, 9892, 9892, 1343, 55, 144, 5734, 115110, 304889, 115110, 5734, 144, 377, 24495, 1339532, 9409503, 9409503, 1339532, 24495, 377, 987, 104655, 15587828, 290382196, 769212993, 290382196 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

....1.......1...........3...............8..................21

....1......17..........74.............315................1343

....3......74.........854............9892..............115110

....8.....315........9892..........304889.............9409503

...21....1343......115110.........9409503...........769212993

...55....5734.....1339532.......290382196.........62871566958

..144...24495....15587828......8961583206.......5138796600020

..377..104655...181392458....276566915938.....420019667031805

..987..447152..2110829288...8535237276423...34330314343879137

.2584.1910521.24563317752.263409237229182.2805988700231638418

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

FORMULA

Empirical for column k:

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

k=2: a(n) = 6*a(n-1) -8*a(n-2) +2*a(n-3) +3*a(n-4) -a(n-5) for n>6

k=3: [order 21] for n>22

k=4: [order 80] for n>81

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A001906(n-1)

Sequence in context: A174506 A109216 A090478 * A195421 A140446 A124689

Adjacent sequences:  A231782 A231783 A231784 * A231786 A231787 A231788

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 13 2013

STATUS

approved

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Last modified March 30 16:16 EDT 2020. Contains 333127 sequences. (Running on oeis4.)