login
Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 neighboring 1.
1

%I #4 Dec 10 2017 11:29:47

%S 6,60,295,1970,12547,77426,490668,3078638,19343899,121656933,

%T 764438509,4805307635,30204033317,189843766164,1193281179607,

%U 7500358766425,47143616101848,296322172696548,1862536668117625,11707004939753233

%N Number of nX5 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 1 neighboring 1.

%C Column 5 of A296320.

%H R. H. Hardin, <a href="/A296317/b296317.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +16*a(n-2) +80*a(n-3) +121*a(n-4) +307*a(n-5) +211*a(n-6) +756*a(n-7) -1102*a(n-8) +1314*a(n-9) -6584*a(n-10) +10104*a(n-11) -18601*a(n-12) +10716*a(n-13) +10312*a(n-14) -5396*a(n-15) -7685*a(n-16) +42214*a(n-17) -18367*a(n-18) -47060*a(n-19) -19762*a(n-20) +48147*a(n-21) +841*a(n-22) +16545*a(n-23) +5633*a(n-24) -23751*a(n-25) +3993*a(n-26) -4983*a(n-27) -5719*a(n-28) +4682*a(n-29) +79*a(n-30) +1960*a(n-31) +1488*a(n-32) +26*a(n-33) -4*a(n-34) -270*a(n-35) -171*a(n-36) -96*a(n-37) -21*a(n-38) +15*a(n-39) +3*a(n-40) +8*a(n-41) +a(n-43)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296320.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 10 2017