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A297429 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s. 1

%I

%S 1,33,109,349,2430,11345,50127,267505,1348969,6648889,34251499,

%T 175903584,898599371,4639188241,23998716363,124089900743,643458024265,

%U 3340939446919,17352516058844,90210216214327,469258501795259

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

%C Column 6 of A297431.

%H R. H. Hardin, <a href="/A297429/b297429.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +13*a(n-2) +85*a(n-3) -83*a(n-4) -908*a(n-5) -2903*a(n-6) -604*a(n-7) +14228*a(n-8) +30601*a(n-9) +8469*a(n-10) -78679*a(n-11) -82860*a(n-12) -712*a(n-13) +88353*a(n-14) -106756*a(n-15) +29781*a(n-16) +254430*a(n-17) +423603*a(n-18) -213589*a(n-19) -721045*a(n-20) -249361*a(n-21) +386305*a(n-22) +759601*a(n-23) -367091*a(n-24) -102039*a(n-25) -233201*a(n-26) +117977*a(n-27) +68267*a(n-28) +2195*a(n-29) -25352*a(n-30) +1975*a(n-31) +17516*a(n-32) -13460*a(n-33) +3183*a(n-34) -1328*a(n-35) +472*a(n-36) +32*a(n-37)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A297431.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 30 2017

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Last modified October 18 01:39 EDT 2021. Contains 348065 sequences. (Running on oeis4.)