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%I #4 Dec 22 2017 11:37:14
%S 1,31,177,910,6506,44519,289576,1933227,12967823,86441435,576811833,
%T 3852975591,25724676718,171743111547,1146723146258,7656483464844,
%U 51120259176326,341319027176518,2278916180200728,15215820577251966
%N Number of nX4 0..1 arrays with each 1 adjacent to 2, 3 or 5 king-move neighboring 1s.
%C Column 4 of A296963.
%H R. H. Hardin, <a href="/A296959/b296959.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -18*a(n-2) +76*a(n-3) -507*a(n-4) +806*a(n-5) -1790*a(n-6) +11163*a(n-7) -15954*a(n-8) +20265*a(n-9) -117034*a(n-10) +155524*a(n-11) -137478*a(n-12) +650904*a(n-13) -702225*a(n-14) +434195*a(n-15) -2006975*a(n-16) +1244462*a(n-17) +177979*a(n-18) +3063263*a(n-19) +1035711*a(n-20) -5354869*a(n-21) -326611*a(n-22) -8233260*a(n-23) +14965327*a(n-24) -5794169*a(n-25) +15690933*a(n-26) -19046385*a(n-27) +2546148*a(n-28) -7903522*a(n-29) +11345765*a(n-30) +4274540*a(n-31) -7477574*a(n-32) +3657197*a(n-33) -5913015*a(n-34) +6170565*a(n-35) -3824015*a(n-36) +3751019*a(n-37) -2214152*a(n-38) -949417*a(n-39) -235143*a(n-40) +1450993*a(n-41) +10750*a(n-42) -306100*a(n-43) -164970*a(n-44) +99045*a(n-45) +30730*a(n-46) -771*a(n-47) -20716*a(n-48) +1638*a(n-49) +1680*a(n-50) +144*a(n-51)
%e Some solutions for n=5
%e ..0..0..1..0. .1..1..0..0. .1..0..1..0. .0..0..1..1. .0..1..1..1
%e ..1..1..0..1. .1..0..0..0. .1..1..1..0. .1..1..1..0. .1..0..0..1
%e ..0..1..0..1. .0..1..0..0. .1..0..0..0. .1..0..1..1. .0..1..1..0
%e ..0..0..1..0. .0..1..0..0. .1..0..1..1. .0..1..0..1. .1..1..1..1
%e ..0..0..0..0. .0..1..1..0. .1..1..0..1. .1..1..1..0. .0..1..0..0
%Y Cf. A296963.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 22 2017
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