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 A297312 Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s. 1

%I

%S 21,654,13937,340825,8273245,200646607,4869858862,118156684121,

%T 2867120332406,69570025944705,1688108287602302,40961748924233513,

%U 993931518658886393,24117625902266425892,585211158099440381626

%N Number of nX6 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s.

%C Column 6 of A297314.

%H R. H. Hardin, <a href="/A297312/b297312.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +324*a(n-2) +1428*a(n-3) -6254*a(n-4) -30323*a(n-5) +97813*a(n-6) +136166*a(n-7) -925019*a(n-8) +1597152*a(n-9) -1178936*a(n-10) +88497*a(n-11) +390484*a(n-12) -218599*a(n-13) +44101*a(n-14) -18308*a(n-15) -28030*a(n-16) +15541*a(n-17) +1362*a(n-18) -1947*a(n-19) +200*a(n-20) +84*a(n-21) -16*a(n-22) for n>25

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297314.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 28 2017

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Last modified December 4 11:28 EST 2021. Contains 349486 sequences. (Running on oeis4.)