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A301844 Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. 1

%I

%S 8,128,773,5748,39703,281758,1986213,14047365,99396932,703490647,

%T 4979239708,35242914039,249447707376,1765580587312,12496708381182,

%U 88451201375638,626054067443912,4431185705002395,31363755611152388

%N Number of 4Xn 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A301841.

%H R. H. Hardin, <a href="/A301844/b301844.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -11*a(n-2) -20*a(n-3) +4*a(n-4) +32*a(n-5) +164*a(n-6) -188*a(n-7) -490*a(n-8) +464*a(n-9) +542*a(n-10) -986*a(n-11) +3968*a(n-12) -8*a(n-13) -16968*a(n-14) +4086*a(n-15) +30368*a(n-16) -12378*a(n-17) -23854*a(n-18) +14224*a(n-19) +14464*a(n-20) -9340*a(n-21) -18074*a(n-22) +8682*a(n-23) +3861*a(n-24) +4655*a(n-25) -3137*a(n-26) +194*a(n-27) -1156*a(n-28) +662*a(n-29) -174*a(n-30) +60*a(n-31) -70*a(n-32) +8*a(n-33) +4*a(n-34) +4*a(n-35) for n>38

%e Some solutions for n=5

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

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

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

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

%Y Cf. A301841.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 27 2018

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Last modified January 25 16:01 EST 2022. Contains 350572 sequences. (Running on oeis4.)