A203726 Number of (n+1)X7 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

5653, 30335, 151649, 656441, 2572189, 9149941, 29840078, 90169885, 254772252, 677808375, 1708349490, 4099750861, 9411074257, 20745960647, 44074963416, 90525011000, 180253851924, 348831174461, 657549745576, 1209715986779

Offset

1,1

Comments

Column 6 of A203728

Links

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

Formula

Empirical: a(n) = 9*a(n-1) -28*a(n-2) +12*a(n-3) +134*a(n-4) -294*a(n-5) -28*a(n-6) +876*a(n-7) -919*a(n-8) -833*a(n-9) +2312*a(n-10) -680*a(n-11) -2380*a(n-12) +2380*a(n-13) +680*a(n-14) -2312*a(n-15) +833*a(n-16) +919*a(n-17) -876*a(n-18) +28*a(n-19) +294*a(n-20) -134*a(n-21) -12*a(n-22) +28*a(n-23) -9*a(n-24) +a(n-25) for n>36

Example

Some solutions for n=4
..2..0..1..0..0..0..1....2..1..1..1..1..1..1....0..0..1..1..1..2..2
..0..2..1..2..2..2..2....1..2..2..2..2..2..2....0..2..2..2..2..2..2
..1..1..2..2..2..2..2....1..2..2..2..2..2..2....1..2..2..2..2..2..2
..1..2..2..2..2..2..2....2..2..2..2..2..2..2....1..2..2..2..2..2..2
..1..2..2..2..2..2..2....2..2..2..2..2..2..2....1..2..2..2..2..2..2

Crossrefs

Sequence in context: A359055 A184080 A234401 * A262660 A255147 A242946

Adjacent sequences: A203723 A203724 A203725 * A203727 A203728 A203729

Keyword

nonn

Author

R. H. Hardin Jan 05 2012

Status

approved