A250581 Number of (n+1)X(6+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

635, 1743, 4077, 9055, 19806, 43202, 94623, 208525, 463050, 1035676, 2332670, 5285207, 12037997, 27534946, 63206421, 145492457, 335661686, 775727155, 1795208098, 4158803848, 9642241072, 22369233408, 51919766166, 120550121826

Offset

1,1

Comments

Column 6 of A250583

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -14*a(n-2) -11*a(n-3) +80*a(n-4) -93*a(n-5) -38*a(n-6) +174*a(n-7) -134*a(n-8) +54*a(n-10) -29*a(n-11) +5*a(n-12) for n>15

Example

Some solutions for n=6
..0..0..0..0..0..1..1....0..0..0..0..0..0..1....0..0..0..0..0..0..0
..0..1..1..1..1..1..1....0..0..0..0..0..0..1....0..0..0..0..0..0..0
..1..0..1..1..1..1..1....0..0..0..1..1..1..1....0..0..0..0..0..0..0
..0..1..1..1..1..1..1....0..0..0..1..1..1..1....0..0..0..0..1..1..1
..1..1..1..1..1..1..1....0..0..1..0..1..1..1....0..0..0..0..1..1..1
..1..1..1..1..1..1..1....0..1..0..1..1..1..1....1..0..0..1..0..1..1
..0..1..1..1..1..1..1....1..0..1..0..1..1..1....0..1..1..0..1..1..1

Crossrefs

Sequence in context: A252124 A112137 A260244 * A061623 A253506 A202048

Adjacent sequences: A250578 A250579 A250580 * A250582 A250583 A250584

Keyword

nonn

Author

R. H. Hardin, Nov 25 2014

Status

approved