A252100 - OEIS

%I #4 Dec 14 2014 07:13:28

%S 6549,5087,10878,26996,86550,252110,727203,2385233,7252003,21530207,

%T 71430665,221511832,667563186,2234984052,7007535529,21309886921,

%U 71700419249,226330484881,692070910403,2335258232195,7403217685030

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

%C Column 3 of A252105

%H R. H. Hardin, <a href="/A252100/b252100.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 121*a(n-3) -5937*a(n-6) +154353*a(n-9) -2364224*a(n-12) +22951313*a(n-15) -152709878*a(n-18) +752997828*a(n-21) -2920990348*a(n-24) +9082319607*a(n-27) -22187243836*a(n-30) +41247616613*a(n-33) -56892460471*a(n-36) +57041236287*a(n-39) -40490200089*a(n-42) +19518932902*a(n-45) -5986474912*a(n-48) +1050763680*a(n-51) -87110400*a(n-54) +2304000*a(n-57) for n>62

%e Some solutions for n=4

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2014