|
%I #8 Jun 19 2022 02:18:07
%S 576,1400,3240,8224,19952,52328,131120,352000,903544,2468016,6458176,
%T 17881160,47552704,133129216,359039112,1014613904,2770351216,
%U 7892016840,21785349232,62495913056,174180409272,502718703312,1412888840448
%N Number of (n+1) X (3+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).
%H R. H. Hardin, <a href="/A235181/b235181.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +44*a(n-2) -133*a(n-3) -842*a(n-4) +2563*a(n-5) +9221*a(n-6) -28202*a(n-7) -64059*a(n-8) +195733*a(n-9) +296446*a(n-10) -893437*a(n-11) -937956*a(n-12) +2714749*a(n-13) +2064161*a(n-14) -5442684*a(n-15) -3205526*a(n-16) +7001040*a(n-17) +3522128*a(n-18) -5502080*a(n-19) -2622832*a(n-20) +2452848*a(n-21) +1173648*a(n-22) -555264*a(n-23) -271584*a(n-24) +48384*a(n-25) +24192*a(n-26).
%e Some solutions for n=4:
%e 0 3 0 3 2 3 2 3 5 1 4 1 3 5 1 4 2 4 2 3
%e 4 2 4 2 4 0 4 0 3 4 2 4 5 2 3 1 4 1 4 0
%e 2 5 2 5 3 4 3 4 4 0 3 0 2 4 0 3 2 4 2 3
%e 3 1 3 1 4 0 4 0 3 4 2 4 4 1 2 0 5 2 5 1
%e 0 3 0 3 1 2 1 2 4 0 3 0 3 5 1 4 3 5 3 4
%Y Column 3 of A235186.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 04 2014
| 