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A295047 Number of nX4 0..1 arrays with each 1 horizontally or vertically adjacent to 0 or 2 1s. 1

%I #4 Nov 13 2017 06:34:37

%S 8,48,270,1569,9045,52199,301306,1739181,10038808,57945607,334471955,

%T 1930628323,11143914889,64324570123,371292350727,2143162565884,

%U 12370698651477,71405775600211,412166275575168,2379093810054735

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

%C Column 4 of A295051.

%H R. H. Hardin, <a href="/A295047/b295047.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) +6*a(n-2) -4*a(n-3) -25*a(n-4) -13*a(n-5) -31*a(n-6) -19*a(n-7) -56*a(n-8) +83*a(n-9) +39*a(n-10) +23*a(n-11) +53*a(n-12) +14*a(n-13) +15*a(n-14) +2*a(n-15) -4*a(n-16) -a(n-17) -a(n-18)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A295051.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 13 2017

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Last modified March 28 05:02 EDT 2024. Contains 371235 sequences. (Running on oeis4.)