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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A203728

LINKS

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

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

Adjacent sequences: A203719 A203720 A203721 * A203723 A203724 A203725

KEYWORD

nonn

AUTHOR

R. H. Hardin Jan 05 2012

STATUS

approved

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Last modified December 3 20:26 EST 2022. Contains 358543 sequences. (Running on oeis4.)