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A301953 Number of 4Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%I A301953 #4 Mar 29 2018 12:47:25
%S A301953 0,13,83,947,9084,98839,1029960,10839822,113808922,1195709047,
%T A301953 12560090528,131941626696,1386007798945,14559641418947,
%U A301953 152945061251677,1606646289820269,16877382303769959,177292310984136323
%N A301953 Number of 4Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.
%C A301953 Row 4 of A301951.
%H A301953 R. H. Hardin, <a href="/A301953/b301953.txt">Table of n, a(n) for n = 1..210</a>
%F A301953 Empirical: a(n) = 7*a(n-1) +51*a(n-2) -82*a(n-3) -768*a(n-4) +138*a(n-5) +5682*a(n-6) +2208*a(n-7) -27378*a(n-8) -19646*a(n-9) +108234*a(n-10) +113576*a(n-11) -351398*a(n-12) -518894*a(n-13) +797178*a(n-14) +1775528*a(n-15) -1138958*a(n-16) -4727986*a(n-17) +650274*a(n-18) +10582688*a(n-19) +3872450*a(n-20) -18087578*a(n-21) -17435194*a(n-22) +17909432*a(n-23) +24700399*a(n-24) -5946897*a(n-25) -6975733*a(n-26) -3960654*a(n-27) +1318878*a(n-28) +806952*a(n-29) +364004*a(n-30) -117352*a(n-31) -127336*a(n-32) +19920*a(n-33) +21504*a(n-34) +1728*a(n-35) -3456*a(n-36) for n>40
%e A301953 Some solutions for n=5
%e A301953 ..0..0..1..0..0. .0..0..0..0..0. .0..0..1..1..0. .0..0..1..1..1
%e A301953 ..0..1..0..0..0. .0..0..1..1..1. .0..1..1..0..1. .0..1..0..0..1
%e A301953 ..1..0..1..0..0. .0..1..0..0..0. .1..0..0..1..1. .1..1..0..1..0
%e A301953 ..0..1..0..1..1. .1..0..0..1..1. .0..0..0..0..0. .1..1..0..0..0
%Y A301953 Cf. A301951.
%K A301953 nonn
%O A301953 1,2
%A A301953 _R. H. Hardin_, Mar 29 2018