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A297984 Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero. 1

%I

%S 1,53,14,43,61,131,242,530,1226,2701,5847,13187,30316,68963,156767,

%T 358341,819778,1874460,4286961,9812357,22469334,51467291,117908386,

%U 270171681,619170983,1419191326,3253216738,7458029458,17098984111

%N Number of nX6 0..1 arrays with every element equal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

%C Column 6 of A297986.

%H R. H. Hardin, <a href="/A297984/b297984.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -2*a(n-2) -9*a(n-3) +22*a(n-4) -34*a(n-5) -3*a(n-6) +77*a(n-7) -115*a(n-8) +109*a(n-9) +59*a(n-10) -221*a(n-11) +337*a(n-12) -190*a(n-13) -235*a(n-14) +367*a(n-15) -673*a(n-16) -171*a(n-17) +413*a(n-18) -454*a(n-19) +515*a(n-20) +1216*a(n-21) +351*a(n-22) +829*a(n-23) +1123*a(n-24) -1315*a(n-25) -1359*a(n-26) -717*a(n-27) -4311*a(n-28) -562*a(n-29) +586*a(n-30) -2822*a(n-31) +4889*a(n-32) +1368*a(n-33) -1161*a(n-34) +5746*a(n-35) -718*a(n-36) +885*a(n-37) +3714*a(n-38) -1567*a(n-39) +3774*a(n-40) +569*a(n-41) -4894*a(n-42) -443*a(n-43) -5804*a(n-44) -7761*a(n-45) -3293*a(n-46) -3623*a(n-47) +690*a(n-48) +4128*a(n-49) +3933*a(n-50) +7042*a(n-51) +5506*a(n-52) +1772*a(n-53) +1624*a(n-54) -1148*a(n-55) -3004*a(n-56) -2143*a(n-57) -2791*a(n-58) -1427*a(n-59) -364*a(n-60) -426*a(n-61) +719*a(n-62) +547*a(n-63) +365*a(n-64) +476*a(n-65) +115*a(n-66) +51*a(n-67) -3*a(n-68) -78*a(n-69) -30*a(n-70) -26*a(n-71) -26*a(n-72) -a(n-73) +2*a(n-75) +2*a(n-76) for n>84

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A297986.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 10 2018

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Last modified October 20 22:00 EDT 2021. Contains 348119 sequences. (Running on oeis4.)