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A305772 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero. 1

%I

%S 8,65,292,1481,7528,38623,199257,1028731,5312551,27438472,141718596,

%T 731981431,3780735940,19527797880,100862667237,520964091619,

%U 2690823206417,13898327444995,71786027839220,370780862198987

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305776.

%H R. H. Hardin, <a href="/A305772/b305772.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -3*a(n-2) +16*a(n-3) -112*a(n-4) -75*a(n-5) +64*a(n-6) +736*a(n-7) +1117*a(n-8) -991*a(n-9) -2702*a(n-10) -4539*a(n-11) +5978*a(n-12) +9407*a(n-13) +2022*a(n-14) -23211*a(n-15) -51181*a(n-16) -5164*a(n-17) +46490*a(n-18) +126244*a(n-19) +94311*a(n-20) +83176*a(n-21) +69506*a(n-22) +6455*a(n-23) -125858*a(n-24) -448734*a(n-25) -573846*a(n-26) -555102*a(n-27) -480248*a(n-28) -236151*a(n-29) +48625*a(n-30) +551378*a(n-31) +1020562*a(n-32) +1243916*a(n-33) +1154262*a(n-34) +943154*a(n-35) +630142*a(n-36) +281741*a(n-37) -149013*a(n-38) -356123*a(n-39) -439970*a(n-40) -355735*a(n-41) -284104*a(n-42) -170092*a(n-43) -34417*a(n-44) -37704*a(n-45) +25928*a(n-46) +26979*a(n-47) -6213*a(n-48) +10758*a(n-49) +3241*a(n-50) -381*a(n-51) +2032*a(n-52) -812*a(n-53) +56*a(n-54) +156*a(n-55) -80*a(n-56) +16*a(n-57) for n>59

%e Some solutions for n=5

%e ..0..0..1..1. .0..1..1..0. .0..1..0..1. .0..0..0..0. .0..1..1..1

%e ..1..1..0..0. .0..1..0..1. .0..0..0..0. .0..0..0..1. .1..1..1..1

%e ..1..1..1..0. .0..0..1..0. .0..0..0..1. .0..0..0..0. .1..0..1..0

%e ..1..0..0..1. .0..0..0..1. .0..0..1..1. .0..0..1..0. .0..0..0..0

%e ..0..0..1..1. .0..0..0..1. .0..1..1..1. .0..1..1..1. .0..0..0..0

%Y Cf. A305776.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 10 2018

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Last modified August 13 20:26 EDT 2022. Contains 356107 sequences. (Running on oeis4.)