A203735 - OEIS

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

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

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