A254354 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and the central column and the two maximums of the diagonal and antidiagonal nondecreasing horizontally and vertically

512, 2868, 15051, 72939, 332330, 1451174, 6117882, 25078442, 100521610, 395707664, 1534522207, 5877625474, 22280410745, 83725432325, 312300575832, 1157580371836, 4267575709129, 15660116804124, 57235664688706

Offset

1,1

Comments

Column 1 of A254361

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -16*a(n-2) -10*a(n-3) +49*a(n-4) -134*a(n-5) +511*a(n-6) -823*a(n-7) +1122*a(n-8) -1482*a(n-9) +467*a(n-10) +329*a(n-11) -2184*a(n-12) +2463*a(n-13) -1910*a(n-14) +2072*a(n-15) +52*a(n-16) +877*a(n-17) -2244*a(n-18) +480*a(n-19) +3226*a(n-20) -3604*a(n-21) -568*a(n-22) +944*a(n-23) +1272*a(n-24) -1120*a(n-25) +224*a(n-26) for n>27

Example

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

Crossrefs

Sequence in context: A254736 A254586 A254361 * A254189 A253801 A253794

Adjacent sequences: A254351 A254352 A254353 * A254355 A254356 A254357

Keyword

nonn

Author

R. H. Hardin, Jan 29 2015

Status

approved