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A234882 T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). 9
32, 68, 68, 128, 148, 128, 268, 268, 268, 268, 512, 628, 472, 628, 512, 1068, 1188, 1116, 1116, 1188, 1068, 2048, 2944, 2096, 3336, 2096, 2944, 2048, 4268, 5684, 5316, 6364, 6364, 5316, 5684, 4268, 8192, 14604, 10240, 22748, 12208, 22748, 10240, 14604, 8192 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

     32    68    128     268     512     1068      2048       4268       8192

     68   148    268     628    1188     2944      5684      14604      28492

    128   268    472    1116    2096     5316     10240      27060      52744

    268   628   1116    3336    6364    22748     44540     178572     353428

    512  1188   2096    6364   12208    44348     87312     354132     703104

   1068  2944   5316   22748   44348   261384    518988    3695496    7370908

   2048  5684  10240   44540   87312   518988   1035792    7389460   14782992

   4268 14604  27060  178572  354132  3695496   7389460   98517200  197023228

   8192 28492  52744  353428  703104  7370908  14782992  197023228  394703128

  17068 74816 142876 1512256 3038716 57766200 115949340 2946513328 5899223932

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..364

FORMULA

Empirical for column k:

k=1: a(n) = 5*a(n-2) -4*a(n-4).

k=2: [order 9].

k=3: [order 11].

k=4: [order 19].

k=5: [order 23].

k=6: [order 31].

k=7: [order 35].

EXAMPLE

Some solutions for n=4, k=4:

  1 0 1 0 1      2 4 3 4 2      3 4 3 4 3      1 0 3 0 1

  4 2 4 2 4      0 3 1 3 0      1 3 1 3 1      4 2 4 2 4

  3 0 3 0 1      2 4 3 4 2      3 4 3 4 3      1 0 1 0 1

  4 2 4 2 4      1 2 0 2 1      0 2 0 2 0      4 2 4 2 4

  1 0 1 0 3      2 4 1 4 2      1 4 3 4 3      3 0 1 0 3

CROSSREFS

Sequence in context: A045048 A132773 A116349 * A043155 A039332 A043935

Adjacent sequences:  A234879 A234880 A234881 * A234883 A234884 A234885

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 01 2014

STATUS

approved

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Last modified August 11 15:10 EDT 2022. Contains 356066 sequences. (Running on oeis4.)