A300368 - OEIS

%I #4 Mar 04 2018 09:07:13

%S 0,1,3,3,4,22,39,102,298,833,2105,6065,16665,45374,126224,348868,

%T 962054,2662783,7364465,20366371,56334291,155844294,431150954,

%U 1192657061,3299782775,9128883051,25255840216,69873935349,193313945656,534830511278

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

%C Column 4 of A300372.

%H R. H. Hardin, <a href="/A300368/b300368.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-2) +8*a(n-3) +8*a(n-4) +12*a(n-5) -44*a(n-7) -152*a(n-8) -241*a(n-9) -140*a(n-10) -68*a(n-11) -156*a(n-12) +283*a(n-13) +514*a(n-14) +1368*a(n-15) +980*a(n-16) +28*a(n-17) -659*a(n-18) -792*a(n-19) -790*a(n-20) -705*a(n-21) -657*a(n-22) +8*a(n-23) +390*a(n-24) +453*a(n-25) -341*a(n-26) +569*a(n-27) -377*a(n-28) +201*a(n-29) -183*a(n-30) -139*a(n-31) +314*a(n-32) -196*a(n-33) +10*a(n-34) +78*a(n-35) -34*a(n-36) +2*a(n-37) -24*a(n-38) +52*a(n-39) -52*a(n-40) +28*a(n-41) -8*a(n-42) +a(n-43) for n>45

%e All solutions for n=5

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

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

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

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

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

%Y Cf. A300372.

%K nonn

%O 1,3

%A _R. H. Hardin_, Mar 04 2018