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A205609 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order 14

%I

%S 15,77,110,443,1030,1024,2705,9688,15896,9894,16955,95564,229445,

%T 248392,96288,108173,946066,3750866,5470216,3889612,937926,698747,

%U 9502090,57807612,146904738,131086803,60868362,9140400,4558985,96151010

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order

%C Table starts

%C .......15..........77...........443............2705.............16955

%C ......110........1030..........9688...........95564............946066

%C .....1024.......15896........229445.........3750866..........57807612

%C .....9894......248392.......5470216.......146904738........3504441046

%C ....96288.....3889612.....131086803......5847666690......219511132715

%C ...937926....60868362....3128383392....230158920084....13403364530330

%C ..9140400...953231848...74880118862...9140244711946...833667153942097

%C .89074638.14922106020.1789102516698.360781344241798.51183941619859368

%H R. H. Hardin, <a href="/A205609/b205609.txt">Table of n, a(n) for n = 1..83</a>

%e Some solutions for n=4 k=3

%e ..0..0..1..2....0..0..0..0....0..1..2..2....0..0..0..0....0..0..1..0

%e ..3..2..1..3....0..0..0..0....0..1..1..1....0..0..0..0....2..3..3..3

%e ..1..0..2..0....1..1..0..1....3..3..0..3....1..0..1..0....2..2..2..2

%e ..1..3..2..1....0..2..2..1....2..3..3..3....1..3..3..3....1..0..1..3

%e ..3..0..3..2....2..2..1..1....2..0..1..2....1..3..0..3....0..0..1..1

%Y Column 1 is A205347.

%Y Row 1 is A205433.

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 29 2012

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Last modified January 19 04:56 EST 2022. Contains 350464 sequences. (Running on oeis4.)