A203735 Number of (n+1)X3 0..3 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

499, 3912, 23442, 114276, 488745, 1868452, 6571172, 21530128, 66630375, 196405354, 555736019, 1517903362, 4021656843, 10375637542, 26152033020, 64573262520, 156555567431, 373428801166, 877831497249, 2036649664260

Offset

1,1

Comments

Column 2 of A203741

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -64*a(n-2) +112*a(n-3) +193*a(n-4) -1145*a(n-5) +1171*a(n-6) +2815*a(n-7) -7600*a(n-8) +620*a(n-9) +17570*a(n-10) -16376*a(n-11) -18514*a(n-12) +37522*a(n-13) +1693*a(n-14) -44011*a(n-15) +19988*a(n-16) +29252*a(n-17) -26851*a(n-18) -9189*a(n-19) +18134*a(n-20) -1082*a(n-21) -7142*a(n-22) +2176*a(n-23) +1569*a(n-24) -849*a(n-25) -139*a(n-26) +153*a(n-27) -9*a(n-28) -11*a(n-29) +2*a(n-30) for n>32

Example

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

Crossrefs

Sequence in context: A259890 A178044 A230004 * A093945 A184146 A214191

Adjacent sequences: A203732 A203733 A203734 * A203736 A203737 A203738

Keyword

nonn

Author

R. H. Hardin Jan 05 2012

Status

approved