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%I #6 Jan 16 2018 11:28:20
%S 8,29,26,46,130,233,448,877,1605,3284,6774,13516,26780,53260,107224,
%T 217210,438939,883313,1780573,3597643,7278676,14737316,29815736,
%U 60315844,122146302,247456532,501329145,1015919801,2058740283,4172450069
%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 4 of A298294.
%H R. H. Hardin, <a href="/A298290/b298290.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +a(n-3) -15*a(n-4) +3*a(n-5) +14*a(n-6) -13*a(n-7) +2*a(n-8) +28*a(n-9) +136*a(n-10) -123*a(n-11) -150*a(n-12) -4*a(n-13) +224*a(n-14) -263*a(n-15) -312*a(n-16) -39*a(n-17) +829*a(n-18) -195*a(n-19) +263*a(n-20) +318*a(n-21) -203*a(n-22) +1380*a(n-23) -1061*a(n-24) +1265*a(n-25) -6050*a(n-26) +3594*a(n-27) -612*a(n-28) +1467*a(n-29) -10103*a(n-30) +7834*a(n-31) +336*a(n-32) +5421*a(n-33) -11698*a(n-34) +11954*a(n-35) +3181*a(n-36) +2304*a(n-37) -2504*a(n-38) +1394*a(n-39) -1748*a(n-40) -9782*a(n-41) -955*a(n-42) -4225*a(n-43) -5550*a(n-44) -78*a(n-45) +9350*a(n-46) +6450*a(n-47) -551*a(n-48) +2055*a(n-49) +2617*a(n-50) -404*a(n-51) -3702*a(n-52) -3216*a(n-53) -544*a(n-54) +434*a(n-55) +923*a(n-56) +488*a(n-57) +68*a(n-58) +59*a(n-59) -254*a(n-60) -194*a(n-61) +52*a(n-62) +64*a(n-63) +36*a(n-64) +8*a(n-65) -10*a(n-66) -4*a(n-67) for n>70
%e Some solutions for n=7
%e ..0..0..1..1. .0..0..1..1. .0..0..1..0. .0..1..0..0. .0..1..1..0
%e ..1..0..1..0. .1..1..0..0. .1..1..1..0. .1..1..0..1. .0..0..1..0
%e ..0..0..1..1. .0..1..1..1. .0..1..0..1. .0..0..0..1. .1..1..1..0
%e ..0..0..1..1. .0..0..1..0. .0..1..0..1. .1..1..0..0. .0..1..0..1
%e ..1..0..1..0. .1..1..1..1. .0..1..0..1. .0..0..1..1. .1..1..1..0
%e ..0..1..0..1. .0..1..0..0. .0..1..0..1. .1..1..1..0. .0..0..1..0
%e ..1..0..1..0. .0..1..0..1. .0..1..0..1. .1..0..0..1. .1..0..1..1
%Y Cf. A298294.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 16 2018
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