A253366 Number of (n+2)X(7+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically

6544, 10496, 63496, 112864, 438504, 1255456, 3424264, 12086016, 30463848, 105411360, 297371496, 895963200, 2923064968, 7866453088, 27463800200, 72611337216, 246664512040, 686842721696, 2178075395368, 6439302714048

Offset

1,1

Comments

Column 7 of A253367

Links

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

Formula

Empirical: a(n) = 21*a(n-2) -198*a(n-4) +1114*a(n-6) -3665*a(n-8) +12265*a(n-10) -37276*a(n-12) +60072*a(n-14) -35500*a(n-16) -80480*a(n-18) +44160*a(n-20) +26752*a(n-22) -18496*a(n-24) +12352*a(n-26) +960*a(n-28) -2048*a(n-30) for n>33

Example

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

Crossrefs

Sequence in context: A363909 A101704 A147872 * A251110 A248064 A236898

Adjacent sequences: A253363 A253364 A253365 * A253367 A253368 A253369

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved