A254300 Number of (n+2)X(2+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 and vertically

2812, 18098, 93326, 460326, 2313072, 11552577, 57873415, 290073742, 1451688456, 7262959692, 36306895375, 181350169411, 905256006521, 4516011284904, 22516704700238, 112215191429193, 559008725142913, 2783743320043295

Offset

1,1

Comments

Column 2 of A254306

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -11*a(n-2) -55*a(n-3) -60*a(n-4) +471*a(n-5) +730*a(n-6) -962*a(n-7) -3277*a(n-8) -3742*a(n-9) +2269*a(n-10) +16038*a(n-11) +21259*a(n-12) +1090*a(n-13) -38973*a(n-14) -62956*a(n-15) -29948*a(n-16) +40621*a(n-17) +93546*a(n-18) +80737*a(n-19) -2387*a(n-20) -76657*a(n-21) -81969*a(n-22) -30850*a(n-23) +26462*a(n-24) +42912*a(n-25) +23544*a(n-26) -2720*a(n-27) -12176*a(n-28) -4704*a(n-29) +864*a(n-30) +768*a(n-31) +128*a(n-32) for n>37

Example

Some solutions for n=3
..0..0..0..1....1..0..0..0....0..1..0..0....1..1..1..0....1..1..0..0
..1..1..1..1....1..1..1..0....1..1..0..0....1..1..0..0....1..1..1..0
..1..0..0..0....1..0..1..0....1..1..1..0....1..1..1..0....1..0..1..1
..1..0..1..1....0..1..0..1....0..0..1..1....1..0..1..1....1..1..0..0
..1..1..1..0....0..1..0..1....0..0..0..0....1..0..0..0....0..1..1..1

Crossrefs

Sequence in context: A254261 A258524 A258531 * A254916 A107533 A065668

Adjacent sequences: A254297 A254298 A254299 * A254301 A254302 A254303

Keyword

nonn

Author

R. H. Hardin, Jan 27 2015

Status

approved