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A295202 Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 4 1s. 1

%I

%S 1,6,25,108,438,1597,5831,21717,81590,307267,1154956,4332766,16247319,

%T 60941083,228640675,857901670,3218928203,12077227572,45312279618,

%U 170006395289,637847836695,2393151540417,8978904610466,33688073392021

%N Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 2 or 4 1s.

%C Column 5 of A295205.

%H R. H. Hardin, <a href="/A295202/b295202.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) +8*a(n-3) +16*a(n-5) -4*a(n-6) -71*a(n-7) +34*a(n-8) -123*a(n-9) -92*a(n-10) -94*a(n-11) +52*a(n-12) +370*a(n-13) +195*a(n-14) +622*a(n-15) +581*a(n-16) -286*a(n-17) -603*a(n-18) -1135*a(n-19) -627*a(n-20) +567*a(n-21) +347*a(n-22) +6*a(n-23) -217*a(n-24) -5*a(n-25) +32*a(n-26) -7*a(n-27) -7*a(n-28) -53*a(n-29) -6*a(n-30) +7*a(n-31) +2*a(n-32)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A295205.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 16 2017

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Last modified September 26 05:07 EDT 2021. Contains 347664 sequences. (Running on oeis4.)