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A296323 Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 neighboring 1s. 1

%I

%S 1,8,23,61,185,562,1677,4998,14968,44818,134061,401123,1200360,

%T 3591843,10747770,32160619,96234620,287963368,861674203,2578393448,

%U 7715343389,23086669802,69082386936,206715662599,618556579000,1850910743566

%N Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 2 neighboring 1s.

%C Column 4 of A296327.

%H R. H. Hardin, <a href="/A296323/b296323.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -6*a(n-2) +13*a(n-3) -17*a(n-4) +22*a(n-5) -30*a(n-6) +33*a(n-7) -42*a(n-8) +37*a(n-9) -34*a(n-10) +21*a(n-11) -12*a(n-12) +4*a(n-13) -a(n-14)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296327.

%K nonn

%O 1,2

%A _R. H. Hardin_, Dec 10 2017

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Last modified April 9 10:32 EDT 2020. Contains 333348 sequences. (Running on oeis4.)