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A281607 Number of 4Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.

%I A281607 #4 Jan 25 2017 10:42:22
%S A281607 14,285,1623,16198,167545,1626073,15975093,157271995,1545421328,
%T A281607 15189232151,149300998270,1467524054601,14424777071936,
%U A281607 141785299554627,1393649553888429,13698600339828853,134647609111781265
%N A281607 Number of 4Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.
%C A281607 Row 4 of A281605.
%H A281607 R. H. Hardin, <a href="/A281607/b281607.txt">Table of n, a(n) for n = 1..210</a>
%F A281607 Empirical: a(n) = 10*a(n-1) -15*a(n-2) +156*a(n-3) -380*a(n-4) +1391*a(n-5) -1460*a(n-6) +8345*a(n-7) -10168*a(n-8) -34575*a(n-9) +11685*a(n-10) +87520*a(n-11) -120741*a(n-12) -46402*a(n-13) +308504*a(n-14) -291257*a(n-15) -810689*a(n-16) +2625692*a(n-17) +2952825*a(n-18) -7688340*a(n-19) -5922696*a(n-20) +14554357*a(n-21) +5415000*a(n-22) -20140889*a(n-23) -1385535*a(n-24) +16904842*a(n-25) -5049800*a(n-26) -10379567*a(n-27) +5599204*a(n-28) +8253535*a(n-29) +1477700*a(n-30) -8713925*a(n-31) -5788589*a(n-32) +4890300*a(n-33) +7223068*a(n-34) +5210774*a(n-35) +2211358*a(n-36) -1353769*a(n-37) -3144958*a(n-38) -1967844*a(n-39) +184866*a(n-40) +874807*a(n-41) -332803*a(n-42) -12906*a(n-43) +212033*a(n-44) +14752*a(n-45) -77187*a(n-46) -21761*a(n-47) +8570*a(n-48) +10358*a(n-49) +283*a(n-50) -2122*a(n-51) -298*a(n-52) +252*a(n-53) +32*a(n-54) -8*a(n-55) for n>58
%e A281607 Some solutions for n=4
%e A281607 ..0..1..0..2. .0..1..0..1. .0..1..2..1. .0..1..0..2. .0..1..1..2
%e A281607 ..0..1..2..1. .0..1..2..0. .2..1..2..0. .2..2..1..2. .2..0..2..0
%e A281607 ..2..1..2..0. .0..1..2..1. .0..1..0..2. .0..0..1..0. .2..1..2..0
%e A281607 ..0..1..0..1. .0..1..0..1. .0..2..0..1. .2..1..2..2. .2..0..2..0
%Y A281607 Cf. A281605.
%K A281607 nonn
%O A281607 1,1
%A A281607 _R. H. Hardin_, Jan 25 2017