A203738 Number of (n+1)X6 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

31942, 488745, 5538127, 47229554, 325435792, 1908258519, 9804436984, 45182796559, 189566445222, 733391349143, 2640507039363, 8918429929980, 28437223041567, 86078536752689, 248504972893078, 687066519837963

Offset

1,1

Comments

Column 5 of A203741

Links

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

Formula

Empirical: a(n) = 15*a(n-1) -89*a(n-2) +216*a(n-3) +181*a(n-4) -2401*a(n-5) +4641*a(n-6) +4328*a(n-7) -31187*a(n-8) +31993*a(n-9) +71773*a(n-10) -202592*a(n-11) +30303*a(n-12) +510433*a(n-13) -600277*a(n-14) -541920*a(n-15) +1681958*a(n-16) -435434*a(n-17) -2440234*a(n-18) +2491216*a(n-19) +1618722*a(n-20) -4268394*a(n-21) +848250*a(n-22) +4071600*a(n-23) -3223350*a(n-24) -1893294*a(n-25) +3708810*a(n-26) -461216*a(n-27) -2380146*a(n-28) +1432514*a(n-29) +744966*a(n-30) -1100896*a(n-31) +105547*a(n-32) +446187*a(n-33) -220493*a(n-34) -76648*a(n-35) +100217*a(n-36) -14053*a(n-37) -20683*a(n-38) +10152*a(n-39) +665*a(n-40) -1883*a(n-41) +489*a(n-42) +64*a(n-43) -61*a(n-44) +13*a(n-45) -a(n-46) for n>60

Example

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

Crossrefs

Sequence in context: A140939 A237165 A134124 * A234995 A236587 A255079

Adjacent sequences: A203735 A203736 A203737 * A203739 A203740 A203741

Keyword

nonn

Author

R. H. Hardin Jan 05 2012

Status

approved