A235007 - OEIS

%I #6 Jun 20 2022 21:10:37

%S 294,1946,1946,13848,14182,13848,104338,114796,114796,104338,800688,

%T 1049470,1053414,1049470,800688,6225088,10000516,11587376,11587376,

%U 10000516,6225088,48596088,98790336,134675868,162585790,134675868

%N T(n,k) the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%C Table starts

%C        294      1946       13848       104338         800688         6225088

%C       1946     14182      114796      1049470       10000516        98790336

%C      13848    114796     1053414     11587376      134675868      1669957802

%C     104338   1049470    11587376    162585790     2432380948     40037217640

%C     800688  10000516   134675868   2432380948    46824470810   1023928807600

%C    6225088  98790336  1669957802  40037217640  1023928807600  30698823130438

%C   48596088 988422984 21127926654 676947457572 23068624328596 951099220684802

%H R. H. Hardin, <a href="/A235007/b235007.txt">Table of n, a(n) for n = 1..84</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 12].

%F k=2: [order 70].

%e Some solutions for n=2, k=4:

%e   6 2 3 0 6      0 2 3 4 7      2 4 2 7 2      6 4 5 4 1

%e   7 1 4 3 7      3 7 6 5 6      1 5 1 4 1      5 1 4 1 0

%e   6 2 3 0 2      0 6 7 4 7      4 6 4 5 0      2 0 5 4 5

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 02 2014