A232938 - OEIS

%I #6 Jul 23 2025 07:44:14

%S 48,120,774,4458,26644,157322,932576,5521380,32701386,193661452,

%T 1146912480,6792272698,40225408560,238224086698,1410817796536,

%U 8355186864526,49481335558724,293039831819072,1735449179468938

%N Number of nX5 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally.

%C Column 5 of A232941

%H R. H. Hardin, <a href="/A232938/b232938.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +21*a(n-2) +48*a(n-3) +14*a(n-4) -69*a(n-5) -38*a(n-6) +68*a(n-7) +13*a(n-8) -57*a(n-9) +37*a(n-10) -8*a(n-11) -2*a(n-12) +a(n-13) for n>14

%e Some solutions for n=5

%e ..2..2..2..2..2....2..1..2..2..1....2..2..2..2..1....1..2..1..2..1

%e ..2..1..2..2..1....2..2..2..2..2....1..2..1..2..2....2..2..2..2..2

%e ..2..2..1..2..2....2..2..2..1..2....2..2..2..2..1....2..1..2..2..2

%e ..1..2..2..2..2....2..2..2..2..2....2..2..1..2..2....2..2..2..2..2

%e ..2..2..2..2..2....1..2..2..2..1....2..2..2..2..1....2..2..2..2..1

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 02 2013