A252684 - OEIS

%I #4 Dec 20 2014 13:00:19

%S 1648,3573,11543,22203,96174,362380,722737,3155586,12207169,24482830,

%T 107405829,421462466,847387214,3725620904,14777364822,29772875790,

%U 131130161526,524782387151,1059132003908,4671467572248,18835616032112

%N Number of (5+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7

%C Row 5 of A252679

%H R. H. Hardin, <a href="/A252684/b252684.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 82*a(n-3) -2182*a(n-6) +20596*a(n-9) -41475*a(n-12) -415132*a(n-15) +2151263*a(n-18) +750453*a(n-21) -24659576*a(n-24) +33367593*a(n-27) +110280081*a(n-30) -295729307*a(n-33) -64677480*a(n-36) +860048039*a(n-39) -928926018*a(n-42) +296870954*a(n-45) +52220748*a(n-48) -51097950*a(n-51) +10657520*a(n-54) -845088*a(n-57) +26880*a(n-60) for n>66

%e Some solutions for n=4

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 20 2014