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A221242 Number of nX4 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.

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%I A221242 #6 Jul 23 2025 01:46:30
%S A221242 4,484,45369,4096576,367565584,32940435025,2951293792489,
%T A221242 264404315544196,23687401278880161,2122092173450945536,
%U A221242 190112409243526686921,17031641464052384231241,1525817148915719009233321
%N A221242 Number of nX4 arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor.
%C A221242 Column 4 of A221245
%H A221242 R. H. Hardin, <a href="/A221242/b221242.txt">Table of n, a(n) for n = 1..21</a>
%F A221242 Empirical: a(n) = 148*a(n-1) -6427*a(n-2) +118138*a(n-3) -1053200*a(n-4) +4793575*a(n-5) -11306353*a(n-6) +13398822*a(n-7) -7161939*a(n-8) +1435401*a(n-9) -59049*a(n-10)
%e A221242 Some solutions for n=3
%e A221242 ..1..0..3..0....0..1..2..0....0..0..1..0....1..1..1..1....0..0..2..0
%e A221242 ..1..4..1..0....0..0..1..1....1..2..0..2....1..3..0..1....2..1..1..2
%e A221242 ..0..0..0..2....1..2..2..2....0..2..4..0....1..0..2..0....0..2..1..1
%K A221242 nonn
%O A221242 1,1
%A A221242 _R. H. Hardin_ Jan 06 2013