A235542 Number of (n+1)X(2+1) 0..1 arrays with the sum of each 2X2 subblock two median terms lexicographically nondecreasing rowwise and columnwise

48, 222, 1049, 4348, 17658, 67012, 247639, 880814, 3061429, 10385988, 34604232, 113376954, 366386257, 1169544994, 3694214596, 11560700652, 35884753502, 110586677426, 338628074707, 1031035016352, 3123343642588, 9418695537368

Offset

1,1

Comments

Column 2 of A235548

Links

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

Formula

Empirical: a(n) = 12*a(n-1) -48*a(n-2) +26*a(n-3) +319*a(n-4) -694*a(n-5) -524*a(n-6) +2932*a(n-7) -875*a(n-8) -5880*a(n-9) +4552*a(n-10) +6378*a(n-11) -7363*a(n-12) -3518*a(n-13) +6068*a(n-14) +520*a(n-15) -2576*a(n-16) +352*a(n-17) +448*a(n-18) -128*a(n-19)

Example

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

Crossrefs

Sequence in context: A235759 A062248 A100146 * A269014 A265422 A211729

Adjacent sequences: A235539 A235540 A235541 * A235543 A235544 A235545

Keyword

nonn

Author

R. H. Hardin, Jan 12 2014

Status

approved