A252567 - OEIS

%I #4 Dec 18 2014 10:28:01

%S 702,742,890,1469,2637,4583,8279,15476,28007,51488,96898,176973,

%T 326583,615240,1126387,2079411,3916443,7178360,13247301,24939892,

%U 45753026,84395129,158816016,291599929,537626773,1011287507,1858330859,3424706510

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

%C Column 1 of A252574

%H R. H. Hardin, <a href="/A252567/b252567.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 26*a(n-3) -280*a(n-6) +1644*a(n-9) +a(n-11) -5901*a(n-12) -23*a(n-14) +13891*a(n-15) +9*a(n-16) +218*a(n-17) -22285*a(n-18) -87*a(n-19) -1114*a(n-20) +24618*a(n-21) +235*a(n-22) +3398*a(n-23) -18372*a(n-24) -174*a(n-25) -6506*a(n-26) +8700*a(n-27) -229*a(n-28) +7928*a(n-29) -2284*a(n-30) +496*a(n-31) -5968*a(n-32) +600*a(n-33) -313*a(n-34) +2449*a(n-35) -1063*a(n-36) +38*a(n-37) -263*a(n-38) +1219*a(n-39) +40*a(n-40) -170*a(n-41) -603*a(n-42) -17*a(n-43) +50*a(n-44) +26*a(n-45) +2*a(n-46) +97*a(n-48) -36*a(n-51) +4*a(n-54) for n>60

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 18 2014