A235654 Number of (n+1)X(2+1) 0..1 arrays with the difference of the upper median and minimum value of each 2X2 subblock in lexicographically nondecreasing order rowwise and columnwise

52, 276, 1368, 6378, 28823, 126926, 550175, 2355552, 10004536, 42235174, 177579946, 744429835, 3114442287, 13010940991, 54301263895, 226468945249, 944063980856, 3934142359952, 16390818551843, 68278377411075

Offset

1,1

Comments

Column 2 of A235660

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -20*a(n-2) -97*a(n-3) +393*a(n-4) +130*a(n-5) -2190*a(n-6) +1313*a(n-7) +5707*a(n-8) -6006*a(n-9) -7785*a(n-10) +10983*a(n-11) +5679*a(n-12) -10491*a(n-13) -2203*a(n-14) +5639*a(n-15) +424*a(n-16) -1701*a(n-17) -32*a(n-18) +264*a(n-19) -16*a(n-21)

Example

Some solutions for n=5
..1..0..1....0..0..0....1..1..1....1..0..1....0..0..1....1..1..0....0..1..0
..0..0..1....1..0..0....0..1..0....0..0..1....0..0..1....1..1..1....1..1..0
..0..0..1....0..0..1....0..1..1....1..1..0....0..1..0....1..1..0....1..0..1
..1..0..1....1..1..1....1..1..0....0..1..0....0..1..1....1..0..1....0..1..0
..1..1..0....1..0..0....0..1..0....1..1..0....1..1..0....1..1..1....1..1..1
..0..1..0....1..1..1....1..0..1....0..1..0....0..1..0....0..0..1....1..0..0

Crossrefs

Sequence in context: A320556 A252335 A230533 * A118328 A079414 A270769

Adjacent sequences: A235651 A235652 A235653 * A235655 A235656 A235657

Keyword

nonn

Author

R. H. Hardin, Jan 13 2014

Status

approved