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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 1
5653, 30335, 151649, 656441, 2572189, 9149941, 29840078, 90169885, 254772252, 677808375, 1708349490, 4099750861, 9411074257, 20745960647, 44074963416, 90525011000, 180253851924, 348831174461, 657549745576, 1209715986779 (list; graph; refs; listen; history; text; internal format)
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: A332738 A184080 A234401 * A262660 A255147 A242946

Adjacent sequences:  A203723 A203724 A203725 * A203727 A203728 A203729

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 05 2012

STATUS

approved

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Last modified August 10 20:21 EDT 2022. Contains 356039 sequences. (Running on oeis4.)