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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 1
205, 1940, 16842, 131432, 940270, 6287755, 39889619, 242721211, 1428279867, 8179225950, 45807549072, 251870313730, 1363916141796, 7292379512157, 38576495950065, 202251507089485, 1052431144936985, 5441816782194136 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 1 of A203896
LINKS
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
KEYWORD
nonn
AUTHOR
R. H. Hardin Jan 07 2012
STATUS
approved

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Last modified February 23 18:28 EST 2024. Contains 370283 sequences. (Running on oeis4.)