A296631 - OEIS

%I #4 Dec 17 2017 13:14:32

%S 8,47,260,1444,8042,44783,249329,1388229,7729475,43036555,239621114,

%T 1334174859,7428487720,41360717708,230290341396,1282222463696,

%U 7139224494787,39750143077200,221322900803963,1232293084459751

%N Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.

%C Column 4 of A296635.

%H R. H. Hardin, <a href="/A296631/b296631.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) -3*a(n-2) +4*a(n-3) -a(n-4) -12*a(n-5) -13*a(n-6) -35*a(n-7) -71*a(n-8) -45*a(n-9) -44*a(n-10) -32*a(n-11) +137*a(n-12) +173*a(n-13) +348*a(n-14) +548*a(n-15) +479*a(n-16) +558*a(n-17) +379*a(n-18) -59*a(n-19) -286*a(n-20) -697*a(n-21) -1219*a(n-22) -1289*a(n-23) -1428*a(n-24) -1412*a(n-25) -1149*a(n-26) -895*a(n-27) -639*a(n-28) -354*a(n-29) -134*a(n-30) +31*a(n-31) +118*a(n-32) +149*a(n-33) +145*a(n-34) +115*a(n-35) +70*a(n-36) +30*a(n-37) +8*a(n-38) +a(n-39)

%e Some solutions for n=6

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

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

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

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

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

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

%Y Cf. A296635.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 17 2017