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 A302280 Number of 3 X n 0..1 arrays with every element equal to 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 2

%I

%S 0,10,22,29,74,162,363,782,1766,3953,8784,19606,43887,98136,219234,

%T 490655,1098086,2457684,5502261,12323540,27604374,61847407,138600898,

%U 310664178,696450255,1561597724,3502013800,7854708637,17619975144

%N Number of 3 X n 0..1 arrays with every element equal to 1, 2 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 3 of A302278.

%H R. H. Hardin, <a href="/A302280/b302280.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -4*a(n-2) +4*a(n-3) -7*a(n-4) -17*a(n-5) +29*a(n-6) -5*a(n-7) +24*a(n-8) +6*a(n-9) -75*a(n-10) +27*a(n-11) +16*a(n-12) +7*a(n-13) -8*a(n-14) -6*a(n-15) +6*a(n-16) for n>18

%e Some solutions for n=5:

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

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

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

%Y Cf. A302278.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 04 2018

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Last modified November 28 02:09 EST 2022. Contains 358406 sequences. (Running on oeis4.)