A230572 - OEIS

%I #4 Oct 23 2013 16:06:06

%S 0,0,0,2,60,868,9088,94014,952214,9576232,95959204,960268542,

%T 9603585810,96019822428,959931905582,9596196300556,95928783074542,

%U 958947698251704,9586040720227362,95825901621540374,957913418736911646

%N Number of 3Xn 0..4 arrays x(i,j) with each element horizontally or antidiagonally next to at least one element with value (x(i,j)+1) mod 5, and upper left element zero

%C Row 3 of A230571

%H R. H. Hardin, <a href="/A230572/b230572.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 22*a(n-1) -162*a(n-2) +409*a(n-3) +388*a(n-4) -3015*a(n-5) +2506*a(n-6) -4076*a(n-7) +7976*a(n-8) +140644*a(n-9) -458654*a(n-10) +278989*a(n-11) +360330*a(n-12) -2153395*a(n-13) +8750440*a(n-14) -14307500*a(n-15) +16123328*a(n-16) +1546948*a(n-17) -97073348*a(n-18) +53638575*a(n-19) +153498981*a(n-20) +158024605*a(n-21) +52294199*a(n-22) -499772093*a(n-23) -921700782*a(n-24) -723232664*a(n-25) +243012309*a(n-26) +1919263278*a(n-27) +3510301720*a(n-28) +4169769770*a(n-29) +3563068834*a(n-30) +1865152198*a(n-31) -205837046*a(n-32) -1847181580*a(n-33) -2630123573*a(n-34) -2533979654*a(n-35) -1882609987*a(n-36) -1099365213*a(n-37) -478202667*a(n-38) -112824444*a(n-39) +28205889*a(n-40) +42838166*a(n-41) +22770714*a(n-42) +2642564*a(n-43) -5698328*a(n-44) -4688168*a(n-45) -2142624*a(n-46) -800160*a(n-47) -56448*a(n-48) for n>51

%e Some solutions for n=5

%e ..0..1..2..3..2....0..1..0..4..3....0..1..2..3..4....0..1..4..0..1

%e ..0..1..4..0..1....2..3..1..2..1....0..4..1..0..4....2..3..2..2..3

%e ..0..4..3..2..1....4..0..1..0..4....3..2..4..3..2....2..1..0..4..3

%K nonn

%O 1,4

%A _R. H. Hardin_, Oct 23 2013