A203727 Number of (n+1)X8 0..2 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

13665, 69612, 367595, 1728140, 7508980, 29840078, 108633030, 365326803, 1143413488, 3354616070, 9280999295, 24345047529, 60836152145, 145450899834, 333992270229, 739111273479, 1581104447457, 3278467967427, 6605334975638

Offset

1,1

Comments

Column 7 of A203728

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -36*a(n-2) +30*a(n-3) +159*a(n-4) -468*a(n-5) +144*a(n-6) +1332*a(n-7) -2061*a(n-8) -818*a(n-9) +4940*a(n-10) -3078*a(n-11) -4845*a(n-12) +7752*a(n-13) -7752*a(n-15) +4845*a(n-16) +3078*a(n-17) -4940*a(n-18) +818*a(n-19) +2061*a(n-20) -1332*a(n-21) -144*a(n-22) +468*a(n-23) -159*a(n-24) -30*a(n-25) +36*a(n-26) -10*a(n-27) +a(n-28) for n>42

Example

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

Crossrefs

Sequence in context: A218456 A224971 A185471 * A088870 A047827 A204369

Adjacent sequences: A203724 A203725 A203726 * A203728 A203729 A203730

Keyword

nonn

Author

R. H. Hardin Jan 05 2012

Status

approved