A253929 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally and vertically

2440, 8384, 30184, 109666, 299727, 756553, 1786831, 3803056, 7637333, 14786984, 27386267, 48837015, 84729381, 143415507, 237363264, 385677751, 615912715, 969323806, 1506759547, 2315941896, 3521114537, 5307003996, 7939414563

Offset

1,1

Comments

Column 2 of A253935

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 4*a(n-1) -5*a(n-2) +15*a(n-4) -44*a(n-5) +53*a(n-6) -8*a(n-7) -79*a(n-8) +196*a(n-9) -235*a(n-10) +88*a(n-11) +172*a(n-12) -472*a(n-13) +612*a(n-14) -392*a(n-15) -70*a(n-16) +656*a(n-17) -1054*a(n-18) +952*a(n-19) -426*a(n-20) -448*a(n-21) +1210*a(n-22) -1400*a(n-23) +1030*a(n-24) -112*a(n-25) -834*a(n-26) +1288*a(n-27) -1216*a(n-28) +584*a(n-29) +200*a(n-30) -728*a(n-31) +903*a(n-32) -628*a(n-33) +163*a(n-34) +232*a(n-35) -445*a(n-36) +364*a(n-37) -151*a(n-38) -32*a(n-39) +137*a(n-40) -116*a(n-41) +45*a(n-42) -20*a(n-44) +16*a(n-45) -4*a(n-46) for n>58

Example

Some solutions for n=4
..0..1..1..1....0..0..0..0....0..0..1..0....0..0..0..0....0..0..1..0
..0..0..0..0....1..1..1..1....0..0..0..0....1..1..1..1....1..0..1..0
..0..1..1..1....0..0..0..0....0..1..0..1....0..0..0..1....0..0..1..1
..1..1..1..1....0..1..1..0....0..1..0..1....1..1..1..1....0..1..1..1
..0..0..1..0....0..1..1..1....1..1..0..1....1..1..1..1....0..0..0..1
..1..0..1..1....0..0..1..1....0..1..1..1....1..1..0..0....1..1..1..1

Crossrefs

Sequence in context: A083625 A253842 A253835 * A233912 A233678 A252554

Adjacent sequences: A253926 A253927 A253928 * A253930 A253931 A253932

Keyword

nonn

Author

R. H. Hardin, Jan 19 2015

Status

approved