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A295779 Number of nX6 0..1 arrays with each 1 adjacent to 0 or 2 king-move neighboring 1s.

%I A295779 #4 Nov 27 2017 07:13:32
%S A295779 21,297,2213,25529,262707,2602065,27085621,276224518,2819029784,
%T A295779 28899641330,295437343180,3022217370837,30925095105256,
%U A295779 316343570292406,3236407313791828,33110664446316449,338735015559436300
%N A295779 Number of nX6 0..1 arrays with each 1 adjacent to 0 or 2 king-move neighboring 1s.
%C A295779 Column 6 of A295781.
%H A295779 R. H. Hardin, <a href="/A295779/b295779.txt">Table of n, a(n) for n = 1..210</a>
%F A295779 Empirical: a(n) = 10*a(n-1) +25*a(n-2) -54*a(n-3) -1950*a(n-4) -771*a(n-5) +17511*a(n-6) +47337*a(n-7) -9028*a(n-8) -267305*a(n-9) -239276*a(n-10) -317469*a(n-11) -96151*a(n-12) +93601*a(n-13) -2823773*a(n-14) +8974347*a(n-15) +15080690*a(n-16) -8251554*a(n-17) +13847286*a(n-18) +53084975*a(n-19) -4187575*a(n-20) -47624792*a(n-21) +61798212*a(n-22) +38117156*a(n-23) -94637807*a(n-24) +18477679*a(n-25) +72789985*a(n-26) -42141667*a(n-27) -29245294*a(n-28) +37728290*a(n-29) -5310570*a(n-30) -21624452*a(n-31) +10924920*a(n-32) +3789229*a(n-33) -6379194*a(n-34) -82479*a(n-35) +1496226*a(n-36) -350920*a(n-37) -274644*a(n-38) +61610*a(n-39) +10150*a(n-40) +3483*a(n-41) -74*a(n-42) +6*a(n-43)
%e A295779 Some solutions for n=4
%e A295779 ..0..1..0..1..0..0. .0..0..0..1..0..1. .0..0..1..0..1..0. .0..0..0..0..0..1
%e A295779 ..0..0..0..0..0..0. .0..0..0..0..0..0. .1..0..0..0..1..1. .0..1..0..1..0..0
%e A295779 ..0..1..1..0..0..1. .0..1..0..0..1..1. .0..0..1..0..0..0. .0..0..0..0..0..1
%e A295779 ..0..1..0..0..0..0. .0..1..1..0..0..1. .0..0..1..1..0..0. .1..0..1..0..1..1
%Y A295779 Cf. A295781.
%K A295779 nonn
%O A295779 1,1
%A A295779 _R. H. Hardin_, Nov 27 2017