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A195962 T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors unequal to itself 8

%I #5 Mar 31 2012 12:36:25

%S 1,1,1,2,1,2,1,6,6,1,1,5,10,5,1,2,5,16,16,5,2,1,14,21,19,21,14,1,1,21,

%T 44,25,25,44,21,1,2,29,82,70,33,70,82,29,2,1,54,144,105,93,93,105,144,

%U 54,1,1,93,273,155,92,214,92,155,273,93,1,2,149,531,332,229,410,410,229,332

%N T(n,k)=Number of nXk 0..4 arrays with each element equal to the number of its horizontal and vertical neighbors unequal to itself

%C Table starts

%C .1..1...2...1...1....2.....1.....1......2......1.......1........2........1

%C .1..1...6...5...5...14....21....29.....54.....93.....149......254......437

%C .2..6..10..16..21...44....82...144....273....531....1032.....1960.....3805

%C .1..5..16..19..25...70...105...155....332....557....1043.....1904.....3391

%C .1..5..21..25..33...93....92...229....468....795....1482.....2849.....5272

%C .2.14..44..70..93..214...410...998...2123...4591...11034....26330....60901

%C .1.21..82.105..92..410...945..1919...4478..10274...27467....73240...184074

%C .1.29.144.155.229..998..1919..4847..15072..43789..117755...368812..1123271

%C .2.54.273.332.468.2123..4478.15072..52912.166310..565567..2117127..7532871

%C .1.93.531.557.795.4591.10274.43789.166310.661587.2492452.11580819.46651212

%H R. H. Hardin, <a href="/A195962/b195962.txt">Table of n, a(n) for n = 1..241</a>

%e Some solutions for n=7 k=5

%e ..1..1..1..1..1....1..3..2..2..1....1..3..2..3..1....1..1..1..3..1

%e ..2..3..3..4..3....1..4..3..3..1....1..4..2..2..1....3..4..1..1..1

%e ..2..4..2..2..2....1..2..2..2..1....1..3..3..2..1....2..2..1..1..3

%e ..3..2..2..4..3....1..2..3..2..1....1..2..2..2..1....3..2..1..1..2

%e ..2..2..4..2..2....1..2..3..2..1....1..2..3..3..1....2..2..1..1..2

%e ..3..4..2..2..3....1..2..4..2..1....1..2..2..4..1....3..4..1..1..1

%e ..2..3..2..3..2....1..2..3..2..1....1..3..2..3..1....1..1..1..3..1

%K nonn,tabl

%O 1,4

%A _R. H. Hardin_ Sep 25 2011

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Last modified May 3 13:38 EDT 2024. Contains 372212 sequences. (Running on oeis4.)