A253539 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nonincreasing horizontally and nondecreasing vertically

20480, 317696, 4414976, 57759744, 751577856, 9765667072, 127181862144, 1653182428416, 21497916851456, 279447917432064, 3633216194866432, 47229024750114048, 613976442965898496, 7981277938053733632

Offset

1,1

Comments

Column 3 of A253544

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -11*a(n-2) -693*a(n-3) +3244*a(n-4) -19932*a(n-5) +46560*a(n-6) +261248*a(n-7) -776832*a(n-8) +664576*a(n-9) -1263616*a(n-10) -15355904*a(n-11) +39215104*a(n-12) +46170112*a(n-13) -132120576*a(n-14) +1835008*a(n-15) +86507520*a(n-16) -117440512*a(n-17) +176160768*a(n-18) +16777216*a(n-19) -167772160*a(n-20) +67108864*a(n-21)

Example

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

Crossrefs

Sequence in context: A186060 A253866 A253873 * A178585 A187282 A235836

Adjacent sequences: A253536 A253537 A253538 * A253540 A253541 A253542

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved