A235093 - OEIS

A235093

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 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%I #6 Jun 19 2022 02:35:50

%S 808,1728,3832,9460,23792,63884,173440,491596,1403944,4134548,

%T 12235728,37057844,112505216,347784756,1075280328,3373236492,

%U 10564408720,33488371740,105827385472,337928612524,1074606972584,3449111677268

%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 4, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

%C Column 3 of A235098.

%H R. H. Hardin, <a href="/A235093/b235093.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +20*a(n-2) -239*a(n-3) +36*a(n-4) +3285*a(n-5) -4086*a(n-6) -23439*a(n-7) +45882*a(n-8) +91959*a(n-9) -251226*a(n-10) -184209*a(n-11) +783240*a(n-12) +99087*a(n-13) -1431666*a(n-14) +277611*a(n-15) +1499767*a(n-16) -513754*a(n-17) -855386*a(n-18) +293540*a(n-19) +256932*a(n-20) -54600*a(n-21) -32760*a(n-22).

%e Some solutions for n=4:

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

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

%e 3 4 3 4 3 2 3 4 2 4 1 2 4 2 1 0 4 3 4 3

%e 0 5 0 5 0 3 0 5 4 2 3 0 3 5 0 3 2 5 2 5

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

%Y Column 3 of A235098.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 03 2014