A254161 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 3036, 16240, 76832, 348032, 1511152, 6440848, 27128324, 113712184, 475820928, 1990141264, 8325715216, 34837433912, 145798977252, 610246788472, 2554332033248, 10691962218368, 44754714079088, 187335498849168

Offset

1,1

Comments

Column 1 of A254168

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -15*a(n-2) -25*a(n-3) +102*a(n-4) -5*a(n-5) -350*a(n-6) +624*a(n-7) -426*a(n-8) -760*a(n-9) +2636*a(n-10) -2924*a(n-11) +443*a(n-12) +3356*a(n-13) -5991*a(n-14) +4955*a(n-15) -658*a(n-16) -3981*a(n-17) +5832*a(n-18) -4144*a(n-19) +1408*a(n-20) +1110*a(n-21) -2260*a(n-22) +1682*a(n-23) -1044*a(n-24) +360*a(n-25) +132*a(n-26) -168*a(n-27) +192*a(n-28) -88*a(n-29) +16*a(n-30) -16*a(n-32)

Example

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

Crossrefs

Sequence in context: A250139 A254168 A254457 * A254491 A253863 A253856

Adjacent sequences: A254158 A254159 A254160 * A254162 A254163 A254164

Keyword

nonn

Author

R. H. Hardin, Jan 26 2015

Status

approved