A203889 Number of (n+1)X2 0..4 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) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing

205, 1940, 16842, 131432, 940270, 6287755, 39889619, 242721211, 1428279867, 8179225950, 45807549072, 251870313730, 1363916141796, 7292379512157, 38576495950065, 202251507089485, 1052431144936985, 5441816782194136

Offset

1,1

Comments

Column 1 of A203896

Links

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

Formula

Empirical: a(n) = 28*a(n-1) -348*a(n-2) +2536*a(n-3) -12058*a(n-4) +39384*a(n-5) -90584*a(n-6) +147848*a(n-7) -170061*a(n-8) +134588*a(n-9) -69668*a(n-10) +21216*a(n-11) -2880*a(n-12)

Example

Some solutions for n=4
..0..3....3..2....2..3....1..0....4..2....0..3....3..2....1..3....1..2....2..3
..2..2....2..3....2..3....0..1....2..4....2..3....1..4....1..3....0..3....2..3
..1..3....1..4....3..3....1..1....2..4....4..4....4..4....4..4....4..3....1..4
..2..4....1..4....4..3....0..4....3..4....4..4....4..4....4..4....4..3....1..4
..2..4....2..3....3..4....2..2....3..4....4..4....4..4....4..4....3..4....1..4

Crossrefs

Sequence in context: A203870 A203863 A203896 * A226564 A077457 A060892

Adjacent sequences: A203886 A203887 A203888 * A203890 A203891 A203892

Keyword

nonn

Author

R. H. Hardin Jan 07 2012

Status

approved