A234178 - OEIS

%I #6 Jun 02 2025 09:14:35

%S 388,3908,39098,392664,3949718,39781838,401094098,4047234624,

%T 40864744240,412820019378,4172049278156,42177344818466,

%U 426502759233778,4313746963897986,43637479774212176,441491561412113340

%N Number of (n+1)X(2+1) 0..5 arrays with every 2X2 subblock having the absolute values of all six edge and diagonal differences no larger than 1.

%C Column 2 of A234184

%H R. H. Hardin, <a href="/A234178/b234178.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 24*a(n-1) -182*a(n-2) +349*a(n-3) +938*a(n-4) -2021*a(n-5) -1914*a(n-6) +2375*a(n-7) +1747*a(n-8) -219*a(n-9) -140*a(n-10) +20*a(n-11)

%e Some solutions for n=3

%e ..3..2..3....3..3..3....3..3..3....1..1..0....2..2..3....2..2..2....2..3..3

%e ..3..3..3....3..2..2....4..3..2....2..1..1....3..3..3....2..1..2....3..3..4

%e ..3..4..3....3..2..3....4..3..3....1..1..2....3..3..4....2..2..2....4..4..3

%e ..3..3..4....2..3..2....4..4..4....1..1..2....3..4..4....2..3..3....4..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2013