A301948 - OEIS

%I #4 Mar 29 2018 12:43:48

%S 3,52,680,9084,120815,1608681,21418808,285190208,3797277789,

%T 50560399640,673206912325,8963686254378,119350632636165,

%U 1589142359440249,21159279866124406,281733805537736001,3751258912615316186

%N Number of nX5 0..1 arrays with every element equal to 1, 2 or 3 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 5 of A301951.

%H R. H. Hardin, <a href="/A301948/b301948.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 16*a(n-1) -29*a(n-2) -114*a(n-3) +324*a(n-4) +8*a(n-5) -709*a(n-6) +690*a(n-7) +158*a(n-8) -448*a(n-9) -34*a(n-10) +116*a(n-11) +27*a(n-12) -4*a(n-13) for n>15

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301951.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 29 2018