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A251499 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 4 5 6 7 or 8 8

%I

%S 186,2270,2270,27844,86946,27844,341718,3361296,3361296,341718,

%T 4194002,130169514,411510096,130169514,4194002,51474508,5042543734,

%U 50511532876,50511532876,5042543734,51474508,631765770,195351371872,6203258853660

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 4 5 6 7 or 8

%C Table starts

%C .....186.......2270.........27844...........341718.............4194002

%C ....2270......86946.......3361296........130169514..........5042543734

%C ...27844....3361296.....411510096......50511532876.......6203258853660

%C ..341718..130169514...50511532876...19669407965330....7664671702820686

%C .4194002.5042543734.6203258853660.7664671702820686.9478728485533475524

%H R. H. Hardin, <a href="/A251499/b251499.txt">Table of n, a(n) for n = 1..112</a>

%F Empirical for column k:

%F k=1: a(n) = 13*a(n-1) -5*a(n-2) -52*a(n-3) +48*a(n-4)

%F k=2: [order 12]

%F k=3: [order 52]

%e Some solutions for n=2 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 03 2014

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Last modified May 17 04:46 EDT 2022. Contains 353730 sequences. (Running on oeis4.)