cp's OEIS Frontend

A189248 Number of nX3 array permutations with each element making zero or one king moves.

%I A189248 #7 Jul 22 2025 11:37:42
%S A189248 3,152,2961,76629,1818336,44308389,1070959431,25950094568,
%T A189248 628311228261,15216392096673,368483172355520,8923455937553017,
%U A189248 216095445904425947,5233099961163002488,126727881793625193513,3068918844981224041565
%N A189248 Number of nX3 array permutations with each element making zero or one king moves.
%C A189248 Column 3 of A189254
%H A189248 R. H. Hardin, <a href="/A189248/b189248.txt">Table of n, a(n) for n = 1..200</a>
%F A189248 Empirical: a(n) = 20*a(n-1) +125*a(n-2) -566*a(n-3) +249*a(n-4) +916*a(n-5) -1703*a(n-6) +256*a(n-7) +691*a(n-8) -30*a(n-9) -9*a(n-10)
%e A189248 Some solutions for 4X3
%e A189248 ..3..5..1....1..2..4....3..0..2....1..3..5....4..2..1....1..4..5....1..0..5
%e A189248 ..0..7..2....3..0..7....1..7..4....6..0..2....0..7..8....7..0..2....3..8..2
%e A189248 ..6..4.10....6..5.11....6..5.11....9.11..4....3..6..5....3..9.11....9.11..4
%e A189248 ..9..8.11....9.10..8....9.10..8....7..8.10...10..9.11...10..6..8....6..7.10
%K A189248 nonn
%O A189248 1,1
%A A189248 _R. H. Hardin_ Apr 19 2011