|
%I #4 Feb 14 2015 10:21:21
%S 208,676,676,2444,2704,2444,8836,14161,14161,8836,31960,66049,103929,
%T 66049,31960,115600,309136,630436,630436,309136,115600,418200,1485961,
%U 4055975,4906225,4055975,1485961,418200,1512900,7070281,26388769
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum one and no antidiagonal sum one
%C Table starts
%C ......208.......676........2444..........8836..........31960...........115600
%C ......676......2704.......14161.........66049.........309136..........1485961
%C .....2444.....14161......103929........630436........4055975.........26388769
%C .....8836.....66049......630436.......4906225.......40081561........344028304
%C ....31960....309136.....4055975......40081561......442721280.......5286889521
%C ...115600...1485961....26388769.....344028304.....5286889521......87959696400
%C ...418200...7070281...170527280....2916864064....60755627185....1389939607849
%C ..1512900..33686416..1103236225...24655280400...697465500736...21978319114816
%C ..5473500.161417025..7182663455..210761791744..8157711718900..355530634470400
%C .19802500.772006225.46658160025.1799944224400.95072386757049.5709705914259216
%H R. H. Hardin, <a href="/A255082/b255082.txt">Table of n, a(n) for n = 1..542</a>
%F Empirical for column k:
%F k=1: a(n) = 5*a(n-1) -25*a(n-3) +25*a(n-4) for n>5
%e Some solutions for n=3 k=4
%e ..0..0..1..1..0..0....0..0..0..0..0..0....0..0..1..1..1..1....0..0..0..1..1..1
%e ..0..1..1..1..1..0....0..1..1..1..1..1....0..1..1..1..0..0....1..1..1..1..0..1
%e ..1..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....1..0..1..1..1..1
%e ..1..1..1..1..1..0....1..0..1..1..1..0....0..1..1..1..1..0....1..1..1..1..1..0
%e ..1..1..1..1..1..0....1..1..1..1..1..0....1..0..0..0..1..1....1..0..0..1..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 14 2015
| 