A302949 - OEIS

%I #4 Apr 16 2018 11:38:28

%S 2,46,519,6531,80589,998670,12365841,153141597,1896492042,23486107930,

%T 290851104799,3601890066510,44605681284501,552395208564836,

%U 6840843079654058,84716763151740480,1049129453065059314

%N Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A302953.

%H R. H. Hardin, <a href="/A302949/b302949.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) +41*a(n-2) +29*a(n-3) -181*a(n-4) -466*a(n-5) -225*a(n-6) +66*a(n-7) +298*a(n-8) -52*a(n-9) +57*a(n-10) -10*a(n-11) -25*a(n-12) +4*a(n-13)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A302953.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 16 2018