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A303184 Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1

%I #4 Apr 19 2018 13:26:39

%S 8,81,135,297,931,2569,6668,17934,48674,131037,353419,953231,2569308,

%T 6928326,18683550,50378075,135840557,366289949,987683660,2663241442,

%U 7181313510,19364081749,52214352523,140793629575,379643605448

%N Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Row 4 of A303182.

%H R. H. Hardin, <a href="/A303184/b303184.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) -9*a(n-4) +6*a(n-5) -5*a(n-6) +4*a(n-7) -4*a(n-8) +14*a(n-9) -9*a(n-10) -2*a(n-12) +8*a(n-13) +2*a(n-14) -8*a(n-15) -4*a(n-16) +4*a(n-17) for n>22

%e Some solutions for n=5

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

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

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

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

%Y Cf. A303182.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 19 2018

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)