A252126 - OEIS

%I #4 Dec 14 2014 10:40:16

%S 2149,10379,44895,106631,566817,2564965,5921321,32909665,153318163,

%T 344985321,1983252321,9414695501,20822456313,122373021057,

%U 587858709777,1286103545153,7662916743881,37079107362213,80586722001961

%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 4 6 or 7

%C Column 4 of A252130

%H R. H. Hardin, <a href="/A252126/b252126.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +151*a(n-3) -151*a(n-4) -7892*a(n-6) +7892*a(n-7) +164274*a(n-9) -164274*a(n-10) -876276*a(n-12) +876276*a(n-13) -9273896*a(n-15) +9273896*a(n-16) +114095856*a(n-18) -114095856*a(n-19) -278549248*a(n-21) +278549248*a(n-22) -803669376*a(n-24) +803669376*a(n-25) +3976988928*a(n-27) -3976988928*a(n-28) -1848553472*a(n-30) +1848553472*a(n-31) -9247582208*a(n-33) +9247582208*a(n-34) +8856555520*a(n-36) -8856555520*a(n-37) +4181000192*a(n-39) -4181000192*a(n-40) -4058611712*a(n-42) +4058611712*a(n-43) -367460352*a(n-45) +367460352*a(n-46) +298057728*a(n-48) -298057728*a(n-49) -16777216*a(n-51) +16777216*a(n-52) for n>55

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014