A296382 - OEIS

%I #4 Dec 11 2017 11:27:25

%S 7,86,641,5389,46786,396806,3372222,28724880,244493344,2080775186,

%T 17710856679,150745976707,1283059791408,10920700369726,92950990770280,

%U 791147175119992,6733806323357454,57314429158782333,487828657283652834

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

%C Column 4 of A296386.

%H R. H. Hardin, <a href="/A296382/b296382.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) -2*a(n-2) +75*a(n-3) -197*a(n-4) +252*a(n-5) -1107*a(n-6) +3425*a(n-7) -6602*a(n-8) +15369*a(n-9) -31274*a(n-10) +22613*a(n-11) +45962*a(n-12) -108142*a(n-13) +16011*a(n-14) +214719*a(n-15) -292372*a(n-16) +9905*a(n-17) +368773*a(n-18) -402405*a(n-19) +88356*a(n-20) +176962*a(n-21) -185191*a(n-22) +84604*a(n-23) -32156*a(n-24) +17517*a(n-25) +3087*a(n-26) -21538*a(n-27) +22352*a(n-28) -12344*a(n-29) +3431*a(n-30) +963*a(n-31) -2338*a(n-32) +2179*a(n-33) -1424*a(n-34) +722*a(n-35) -308*a(n-36) +116*a(n-37) -36*a(n-38) +8*a(n-39) -a(n-40)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A296386.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 11 2017