|
%I #4 Dec 17 2014 09:53:29
%S 1551,1157,2555,6231,16906,44456,113146,311214,819606,2086566,5746545,
%T 15147605,38558032,106198296,280032267,712923101,1963719979,
%U 5179266001,13187734424,36328962794,95838112695,244064366602,672411482149
%N Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 2 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 2 3 4 6 or 7
%C Column 4 of A252407
%H R. H. Hardin, <a href="/A252403/b252403.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 43*a(n-3) -607*a(n-6) +3871*a(n-9) -22906*a(n-12) +87039*a(n-15) -288666*a(n-18) +675828*a(n-21) -1232028*a(n-24) +1513050*a(n-27) -509862*a(n-30) -839791*a(n-33) +309408*a(n-36) +328998*a(n-39) +118167*a(n-42) -74798*a(n-45) -58186*a(n-48) -7379*a(n-51) -1782*a(n-54) -508*a(n-57) +87*a(n-60) +22*a(n-63) +a(n-66) for n>69
%e Some solutions for n=4
%e ..1..3..3..1..3..0....3..1..0..3..1..3....3..3..1..0..3..1....2..3..2..2..3..2
%e ..2..3..2..2..3..2....2..2..3..2..2..3....3..2..2..3..2..2....2..2..3..2..2..3
%e ..2..2..0..2..2..3....3..2..2..3..2..2....2..3..2..2..3..2....1..3..3..1..3..0
%e ..1..3..3..1..3..3....0..1..3..0..1..3....0..3..1..3..3..1....2..3..2..2..3..2
%e ..2..0..2..2..3..2....2..2..3..2..2..3....3..2..2..3..2..2....2..2..3..2..2..3
%e ..2..2..3..2..2..0....3..2..2..3..2..2....2..0..2..2..0..2....1..3..0..1..3..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
| 