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A203722
Number of (n+1)X3 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
113, 480, 1632, 4737, 12470, 30335, 69612, 152260, 320546, 653622, 1298042, 2520746, 4803363, 9005619, 16650695, 30417076, 54987344, 98502681, 175052609, 308918598, 541794370, 945035051, 1640400129, 2835103075, 4880936409
OFFSET
1,1
Column 2 of A203728
FORMULA
Empirical: a(n) = 6*a(n-1) -10*a(n-2) -8*a(n-3) +40*a(n-4) -22*a(n-5) -47*a(n-6) +56*a(n-7) +15*a(n-8) -46*a(n-9) +8*a(n-10) +16*a(n-11) -6*a(n-12) -2*a(n-13) +a(n-14) for n>15
EXAMPLE
Some solutions for n=4
..1..0..1....0..1..0....0..1..2....0..0..2....2..1..1....1..1..2....2..0..1
..0..2..1....0..1..2....2..1..2....2..2..2....1..2..2....1..1..2....0..2..1
..1..1..2....2..1..2....1..2..2....2..2..2....1..2..2....1..2..2....2..1..2
..0..2..1....1..2..2....1..2..2....2..2..2....2..2..2....2..2..2....1..2..1
..1..1..2....2..2..2....2..2..2....2..2..2....2..2..2....2..2..2....2..1..2
CROSSREFS
Sequence in context: A342816 A353957 A142850 * A118506 A341230 A109563
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 05 2012
STATUS
approved

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Last modified September 19 23:07 EDT 2024. Contains 376015 sequences. (Running on oeis4.)