A206355 - OEIS

%I #5 Mar 31 2012 12:37:11

%S 2,120,3284,91518,2545230,70894196,1973960628,54973461294,

%T 1530909659694,42634040850720,1187302679649470,33064936696401300,

%U 920817809589881572,25643653148853690776,714144422751974649034,19888051043349007713954

%N Number of nX4 0..4 arrays with no element equal to another within two positions in the same row or column, and new values 0..4 introduced in row major order

%C Column 4 of A206359

%H R. H. Hardin, <a href="/A206355/b206355.txt">Table of n, a(n) for n = 1..108</a>

%F Empirical: a(n) = 32*a(n-1) +76*a(n-2) -5904*a(n-3) +1721*a(n-4) +419123*a(n-5) -145197*a(n-6) -17668949*a(n-7) +20880296*a(n-8) +307017229*a(n-9) -259902590*a(n-10) -2211508824*a(n-11) -3884842364*a(n-12) +1052899979*a(n-13) +85838941255*a(n-14) +121001157362*a(n-15) -385025973349*a(n-16) -1252681827229*a(n-17) -1873575838949*a(n-18) +4681783162473*a(n-19) +22323753578645*a(n-20) +9811253613783*a(n-21) -50670876095585*a(n-22) -100273865134560*a(n-23) -84704041294374*a(n-24) +132299239770787*a(n-25) +372399486830938*a(n-26) +189639080959232*a(n-27) -164338224373849*a(n-28) -344164045191618*a(n-29) -220338091824960*a(n-30) -45873259303120*a(n-31) +44287016659527*a(n-32) +292067697148194*a(n-33) +126193726646364*a(n-34) -159628839066498*a(n-35) -61818190307576*a(n-36) +39629245365500*a(n-37) +10915954711700*a(n-38) -10133626522160*a(n-39) +649024333200*a(n-40) +371869896960*a(n-41) -16637166720*a(n-42) for n>43

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Feb 06 2012