A253346 Number of (n+1) X (4+1) 0..1 arrays with every 2 X 2 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

335, 3160, 31156, 305872, 3013228, 29779356, 294392852, 2912660356, 28819853684, 285212776212, 2822672937940, 27936281452340, 276491156846740, 2736514043096372, 27084166365743700, 268061337010794484

Offset

1,1

Comments

Column 4 of A253350.

Links

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

Formula

Empirical: a(n) = 18*a(n-1) -73*a(n-2) -256*a(n-3) +2060*a(n-4) -1216*a(n-5) -12612*a(n-6) +18224*a(n-7) +20992*a(n-8) -40064*a(n-9) -9984*a(n-10) +24576*a(n-11) for n>14.

Example

Some solutions for n=3
..1..1..0..1..0....1..0..0..1..1....0..1..1..1..0....0..1..1..1..0
..0..1..1..1..1....1..1..1..1..1....1..0..1..1..0....0..0..0..1..1
..0..1..0..1..1....0..0..1..0..0....1..1..1..1..0....1..1..1..1..1
..1..1..1..1..0....0..0..1..1..1....0..0..1..1..0....1..1..1..1..1

Crossrefs

Cf. A253350.

Sequence in context: A105099 A038648 A224533 * A253353 A204612 A204796

Adjacent sequences: A253343 A253344 A253345 * A253347 A253348 A253349

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved