A253872 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

3328, 31632, 288000, 2546432, 22201600, 192159408, 1655991552, 14230568608, 122149164288, 1048058382544, 8991811861760, 77138860263232, 661719173588224, 5676180681647088, 48689392835071232, 417649176995518688

Offset

1,1

Comments

Row 2 of A253871

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -37*a(n-2) -95*a(n-3) +1181*a(n-4) -3897*a(n-5) +1721*a(n-6) -11813*a(n-7) +86096*a(n-8) -17360*a(n-9) -280192*a(n-10) +266368*a(n-11) -103680*a(n-12) +1683712*a(n-13) -11894784*a(n-14) +12763136*a(n-15) +24772608*a(n-16) -31457280*a(n-17) -12582912*a(n-18) +16777216*a(n-19)

Example

Some solutions for n=2
..1..0..1..1....0..0..0..1....0..0..1..0....0..1..1..0....0..1..1..1
..0..1..0..1....1..0..1..0....1..0..0..0....1..0..0..1....1..1..0..0
..1..1..1..1....1..1..0..1....1..0..1..1....1..1..1..0....1..1..0..1
..1..0..0..0....0..1..0..1....0..1..0..0....0..0..1..1....0..0..0..0

Crossrefs

Sequence in context: A175277 A209206 A252510 * A253865 A253538 A147881

Adjacent sequences: A253869 A253870 A253871 * A253873 A253874 A253875

Keyword

nonn

Author

R. H. Hardin, Jan 17 2015

Status

approved