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A254263
Number of (4+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally
1
54236, 223357, 718226, 2983064, 12249828, 49369118, 197326142, 771607126, 2988561988, 11447620204, 43838201036, 167053149544, 637238685986, 2430896471842, 9321842851660, 35838046262150, 138903129042950
OFFSET
1,1
COMMENTS
Row 4 of A254260
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) +26*a(n-2) -146*a(n-3) -455*a(n-4) +1154*a(n-5) +6767*a(n-6) -2920*a(n-7) -42605*a(n-8) -35406*a(n-9) +58183*a(n-10) -151832*a(n-11) +683871*a(n-12) +6499614*a(n-13) +4735393*a(n-14) -51112984*a(n-15) -114140326*a(n-16) +136292264*a(n-17) +742062187*a(n-18) +366233074*a(n-19) -2329427252*a(n-20) -3608482848*a(n-21) +2542915684*a(n-22) +10811253048*a(n-23) +4756583856*a(n-24) -13607504608*a(n-25) -16300351552*a(n-26) -3936912896*a(n-27) +13639591168*a(n-28) +27310157824*a(n-29) +12147660800*a(n-30) -23610398720*a(n-31) -27889451008*a(n-32) -1292050432*a(n-33) +10694885376*a(n-34) +14263123968*a(n-35) +8161329152*a(n-36) -7736918016*a(n-37) -9831972864*a(n-38) +2157969408*a(n-39) +3774873600*a(n-40) -1207959552*a(n-41) for n>50
EXAMPLE
Some solutions for n=1
..0..1..0....1..0..1....1..0..1....0..1..0....0..0..0....0..1..0....0..0..0
..1..1..1....0..1..1....1..1..1....1..1..0....1..1..1....1..0..0....0..0..1
..0..1..1....1..1..0....1..0..1....1..1..0....0..0..1....0..1..1....1..0..0
..0..1..0....1..0..1....0..0..0....0..1..1....1..0..0....1..0..0....0..1..0
..1..1..0....1..0..0....0..1..1....0..1..0....0..1..1....0..0..1....0..0..0
..1..0..0....1..1..1....1..0..0....0..0..1....0..1..0....1..1..0....1..0..1
CROSSREFS
Sequence in context: A224617 A224625 A224618 * A254256 A254302 A202315
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 27 2015
STATUS
approved