A203448 Number of (n+1)X5 0..1 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

64, 174, 1177, 7481, 46853, 265581, 1371532, 6477799, 28186736, 113797303, 429229381, 1522307251, 5106384889, 16285979144, 49619743791, 145033371213, 408217994491, 1110183398793, 2926141105334, 7495234690866, 18704470939705

Offset

1,1

Comments

Column 4 of A203452

Links

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

Formula

Empirical: a(n) = 27*a(n-1) -349*a(n-2) +2873*a(n-3) -16900*a(n-4) +75530*a(n-5) -266110*a(n-6) +756470*a(n-7) -1759615*a(n-8) +3371225*a(n-9) -5311735*a(n-10) +6788795*a(n-11) -6760390*a(n-12) +4605980*a(n-13) -742900*a(n-14) -3417340*a(n-15) +6277505*a(n-16) -7016035*a(n-17) +5936645*a(n-18) -4029025*a(n-19) +2236520*a(n-20) -1019590*a(n-21) +379730*a(n-22) -114010*a(n-23) +26975*a(n-24) -4849*a(n-25) +623*a(n-26) -51*a(n-27) +2*a(n-28) for n>37

Example

Some solutions for n=5
..0..0..0..0..0....0..0..0..0..1....0..0..0..0..1....0..0..0..0..1
..0..0..0..0..1....0..0..0..0..1....0..0..0..1..1....0..0..0..0..1
..0..0..1..1..0....0..0..1..1..1....0..0..1..1..1....0..0..0..1..0
..0..0..1..1..1....0..1..0..0..0....0..1..0..1..0....0..0..0..1..0
..0..1..0..1..0....1..0..1..1..0....0..1..1..0..0....0..1..1..0..0
..0..1..0..1..1....1..1..0..0..1....1..1..1..1..0....0..1..1..0..1

Crossrefs

Sequence in context: A251077 A228666 A209379 * A078093 A209371 A317763

Adjacent sequences: A203445 A203446 A203447 * A203449 A203450 A203451

Keyword

nonn

Author

R. H. Hardin Jan 02 2012

Status

approved