A234421 - OEIS

%I #4 Dec 25 2013 14:53:17

%S 106,550,550,2848,5606,2848,14794,56768,56768,14794,76996,576798,

%T 1131708,576798,76996,401332,5868488,22692600,22692600,5868488,401332,

%U 2094334,59776664,455740110,902381482,455740110,59776664,2094334,10939294

%N T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1

%C Table starts

%C ......106.........550...........2848.............14794.................76996

%C ......550........5606..........56768............576798...............5868488

%C .....2848.......56768........1131708..........22692600.............455740110

%C ....14794......576798.......22692600.........902381482...........35990116136

%C ....76996.....5868488......455740110.......35990116136.........2857237950632

%C ...401332....59776664.....9162597900.....1437580782720.......227405955444726

%C ..2094334...609452862...184360780592....57473377454022.....18122285038689252

%C .10939294..6218451874..3711992019408..2299237494134150...1445332509814385676

%C .57181342.63489735426.74780929646602.92030237216593330.115337212755587318482

%H R. H. Hardin, <a href="/A234421/b234421.txt">Table of n, a(n) for n = 1..161</a>

%F Empirical for column k:

%F k=1: a(n) = 13*a(n-1) -54*a(n-2) +57*a(n-3) +90*a(n-4) -96*a(n-5) -108*a(n-6) -24*a(n-7)

%F k=2: [order 16]

%F k=3: [order 33]

%F k=4: [order 94]

%e Some solutions for n=2 k=4

%e ..4..4..5..4..4....0..1..1..0..0....4..3..3..3..2....2..2..1..1..1

%e ..4..5..4..4..3....0..0..0..1..1....4..3..3..3..3....2..1..1..1..2

%e ..5..5..4..4..3....1..0..1..1..0....4..3..2..2..3....1..2..2..1..2

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 25 2013