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A233691 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal 9

%I

%S 32,108,108,356,548,356,1188,2628,2628,1188,3940,13324,19248,13324,

%T 3940,13108,64756,145512,145512,64756,13108,43540,327588,1095164,

%U 1723204,1095164,327588,43540,144740,1596200,8284072,19588516,19588516,8284072

%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the sum of the squares of the edge differences equal to 10 (10 maximizes T(1,1)), and no two adjacent values equal

%C Table starts

%C ......32.......108.........356..........1188............3940..............13108

%C .....108.......548........2628.........13324...........64756.............327588

%C .....356......2628.......19248........145512.........1095164............8284072

%C ....1188.....13324......145512.......1723204........19588516..........233101508

%C ....3940.....64756.....1095164......19588516.......350631128.........6324816860

%C ...13108....327588.....8284072.....233101508......6324816860.......180309108120

%C ...43540...1596200....62569964....2662026560....113995582540......4934227972036

%C ..144740...8064200...473123164...31690526268...2057970474012....140915217790172

%C ..480964..39342364..3575792884..362156082980..37133987692488...3861307527285204

%C .1598548.198550888.27033634800.4311121344720.670381088418328.110305940795395912

%H R. H. Hardin, <a href="/A233691/b233691.txt">Table of n, a(n) for n = 1..283</a>

%F Empirical for column k:

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

%F k=2: [order 9]

%F k=3: [order 15]

%F k=4: [order 41]

%F k=5: [order 85]

%e Some solutions for n=3 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Dec 14 2013

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Last modified January 24 21:08 EST 2022. Contains 350565 sequences. (Running on oeis4.)