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A189249 Number of n X 4 array permutations with each element making zero or one king moves. 1

%I #7 Apr 17 2022 22:23:57

%S 5,1168,76629,7396009,637586496,56892084785,5025023852501,

%T 445205174822288,39407984363284853,3489215319159283593,

%U 308912577758497124608,27349797876932219710785,2421416215254898335806661

%N Number of n X 4 array permutations with each element making zero or one king moves.

%C Column 4 of A189254.

%H R. H. Hardin, <a href="/A189249/b189249.txt">Table of n, a(n) for n = 1..200</a>

%F Empirical: a(n) = 86*a(n-1) +773*a(n-2) -51741*a(n-3) +261147*a(n-4) +1858799*a(n-5) -7576930*a(n-6) -18369505*a(n-7) -63976305*a(n-8) +171881802*a(n-9) +1135450371*a(n-10) -543543057*a(n-11) -2342488484*a(n-12) -2204079757*a(n-13) +2422263217*a(n-14) +6125446560*a(n-15) -2843664887*a(n-16) -3962040267*a(n-17) +2834866226*a(n-18) -976262267*a(n-19) +196899773*a(n-20) +87195350*a(n-21) -15444135*a(n-22) -1459347*a(n-23) -867371*a(n-24) +86035*a(n-25) +10110*a(n-26) -675*a(n-27).

%e Some solutions for 3 X 4

%e ..5..4..7..2....4..1..2..3....5..2..1..3....0..6..7..3....1..4..3..2

%e ..0.10..1..3....0..8..6.10....0..4.10.11....8..1.11..2....8..0.11..6

%e ..8..9..6.11....5..9.11..7....9..8..7..6....9..4..5.10....5..9.10..7

%Y Cf. A189254.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 19 2011

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Last modified March 28 14:33 EDT 2024. Contains 371254 sequences. (Running on oeis4.)