A252555 - OEIS

%I #4 Dec 18 2014 09:48:06

%S 4284,8508,29158,104515,474384,1818662,6914968,30571435,118748167,

%T 457814585,2021592880,7890733470,30536066929,135030341429,

%U 528049571248,2045985003610,9056678076833,35445411579673,137400905815729

%N Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 2 4 6 or 7

%C Column 5 of A252558

%H R. H. Hardin, <a href="/A252555/b252555.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 141*a(n-3) -7068*a(n-6) +174395*a(n-9) -2506081*a(n-12) +23429882*a(n-15) -154146596*a(n-18) +751684236*a(n-21) -2807197814*a(n-24) +8200818320*a(n-27) -19010699089*a(n-30) +35232932261*a(n-33) -52135315240*a(n-36) +60934776517*a(n-39) -55197026700*a(n-42) +37698656303*a(n-45) -18536879660*a(n-48) +5844224877*a(n-51) -584621719*a(n-54) -503336664*a(n-57) +341137814*a(n-60) -120629020*a(n-63) +28933758*a(n-66) -4962244*a(n-69) +608117*a(n-72) -51421*a(n-75) +2778*a(n-78) -83*a(n-81) +a(n-84) for n>89

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014