A254261 Number of (2+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

2812, 14681, 72644, 382316, 1989857, 10193041, 52034327, 264149081, 1335877880, 6740946572, 33935560584, 170530735088, 855637004145, 4287376899943, 21458536936271, 107295504461897, 536034351392456, 2675987126060282

Offset

1,1

Comments

Row 2 of A254260

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..1..0..1....0..1..0..0..1....1..0..0..1..0....0..1..1..0..0
..0..0..0..1..1....0..0..0..0..1....1..1..1..1..1....1..0..0..1..1
..1..1..0..0..0....0..0..1..1..0....1..1..0..0..1....0..0..0..0..0
..0..0..1..1..1....0..0..1..0..0....0..1..1..0..1....1..1..1..1..1

Crossrefs

Sequence in context: A031731 A252048 A254254 * A258524 A258531 A254300

Adjacent sequences: A254258 A254259 A254260 * A254262 A254263 A254264

Keyword

nonn

Author

R. H. Hardin, Jan 27 2015

Status

approved