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A280359 Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.

%I A280359 #4 Jan 01 2017 08:55:20
%S A280359 11,285,6727,164326,3992071,97147710,2363431872,57503068637,
%T A280359 1399048151083,34038954765446,828169917765970,20149430911202735,
%U A280359 490237018170118357,11927499978469804063,290196884767995060095
%N A280359 Number of nX4 0..2 arrays with no element equal to more than one of its horizontal and vertical neighbors and with new values introduced in order 0 sequentially upwards.
%C A280359 Column 4 of A280362.
%H A280359 R. H. Hardin, <a href="/A280359/b280359.txt">Table of n, a(n) for n = 1..210</a>
%F A280359 Empirical: a(n) = 30*a(n-1) -103*a(n-2) -1092*a(n-3) +5847*a(n-4) +2804*a(n-5) -50379*a(n-6) +41079*a(n-7) -126386*a(n-8) +1514584*a(n-9) -1194277*a(n-10) -6905803*a(n-11) +6655712*a(n-12) +16213430*a(n-13) -21948067*a(n-14) -16861080*a(n-15) +41679338*a(n-16) +426137*a(n-17) -57615511*a(n-18) +28148770*a(n-19) +60186728*a(n-20) -41569682*a(n-21) -23465826*a(n-22) +95973316*a(n-23) -9699443*a(n-24) -206500242*a(n-25) -85311247*a(n-26) +112347612*a(n-27) +89204829*a(n-28) +124190867*a(n-29) +185283712*a(n-30) -74437936*a(n-31) -288002168*a(n-32) -164637824*a(n-33) +109790912*a(n-34) +171661568*a(n-35) +34990720*a(n-36) -45687040*a(n-37) -38017024*a(n-38) -10430464*a(n-39) +9265152*a(n-40) +5439488*a(n-41) +950272*a(n-42) -262144*a(n-43) -524288*a(n-44)
%e A280359 Some solutions for n=4
%e A280359 ..0..1..0..2. .0..1..0..1. .0..1..0..0. .0..0..1..0. .0..1..2..1
%e A280359 ..1..0..1..1. .0..2..1..0. .1..0..2..2. .1..2..1..2. .0..2..1..0
%e A280359 ..0..1..0..2. .1..1..0..1. .1..2..1..0. .0..1..2..1. .2..0..2..2
%e A280359 ..2..1..2..1. .0..0..1..0. .2..1..2..0. .1..2..0..2. .1..2..1..0
%Y A280359 Cf. A280362.
%K A280359 nonn
%O A280359 1,1
%A A280359 _R. H. Hardin_, Jan 01 2017