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A297593 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 1

%I

%S 9,69,443,3145,23066,163704,1172288,8419996,60354437,432486880,

%T 3101191209,22233839619,159387906784,1142689244796,8192204302737,

%U 58730805975407,421050083127329,3018577722454520,21640640428753082

%N Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s.

%C Column 6 of A297595.

%H R. H. Hardin, <a href="/A297593/b297593.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +16*a(n-2) +129*a(n-3) +227*a(n-4) -105*a(n-5) -2226*a(n-6) -4884*a(n-7) +604*a(n-8) +23119*a(n-9) +49143*a(n-10) -53762*a(n-11) -181270*a(n-12) -193040*a(n-13) +219246*a(n-14) +1003859*a(n-15) +263263*a(n-16) -1820114*a(n-17) +2250789*a(n-18) -5172086*a(n-19) +6760023*a(n-20) -7333665*a(n-21) +5453092*a(n-22) -7795474*a(n-23) +8828869*a(n-24) -3949092*a(n-25) +5296459*a(n-26) -3251790*a(n-27) -454888*a(n-28) +122955*a(n-29) +274302*a(n-30) +88776*a(n-31) -155166*a(n-32) -139911*a(n-33) -80887*a(n-34) +76672*a(n-35) -9221*a(n-36) +8982*a(n-37) -4846*a(n-38) -987*a(n-39) +396*a(n-40)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A297595.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 01 2018

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Last modified October 20 07:41 EDT 2020. Contains 337897 sequences. (Running on oeis4.)