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 A297225 Number of 3Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. 1

%I

%S 1,9,24,57,182,535,1513,4415,12832,37110,107661,312229,904915,2623749,

%T 7607302,22054261,63940404,185379485,537454173,1558199157,4517574360,

%U 13097454856,37972451701,110090662857,319177485549,925367027389

%N Number of 3Xn 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s.

%C Row 3 of A297224.

%H R. H. Hardin, <a href="/A297225/b297225.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +2*a(n-2) +8*a(n-3) +6*a(n-4) +4*a(n-5) -6*a(n-6) -8*a(n-7) -8*a(n-8) +10*a(n-9) +4*a(n-10) -2*a(n-11) -3*a(n-12) +a(n-13)

%e Some solutions for n=7

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

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

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

%Y Cf. A297224.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 27 2017

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Last modified December 8 20:46 EST 2022. Contains 358698 sequences. (Running on oeis4.)