A253865 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

3328, 31632, 296960, 2589968, 22729728, 195774608, 1689797632, 14500025360, 124544611328, 1068223200144, 9166655759360, 78628228353808, 674532688614400, 5785876228976272, 49631400786527232, 425724993855617552

Offset

1,1

Comments

Column 2 of A253871

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -38*a(n-2) -82*a(n-3) +1143*a(n-4) -3979*a(n-5) +2864*a(n-6) -15792*a(n-7) +88960*a(n-8) -33152*a(n-9) -191232*a(n-10) +233216*a(n-11) -294912*a(n-12) +1916928*a(n-13) -12189696*a(n-14) +14680064*a(n-15) +12582912*a(n-16) -16777216*a(n-17)

Example

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

Crossrefs

Sequence in context: A209206 A252510 A253872 * A253538 A147881 A230307

Adjacent sequences: A253862 A253863 A253864 * A253866 A253867 A253868

Keyword

nonn

Author

R. H. Hardin, Jan 17 2015

Status

approved