A250465 Number of (n+1)X(5+1) 0..1 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

637, 9651, 135753, 1920345, 27076065, 381830463, 5383012776, 75892576784, 1069934356217, 15084094478445, 212656648654313, 2998054563599503, 42266832073393269, 595881668315011177, 8400792923303457876

Offset

1,1

Comments

Column 5 of A250468

Links

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

Formula

Empirical: a(n) = 7*a(n-1) +130*a(n-2) -189*a(n-3) -3667*a(n-4) +2558*a(n-5) +42988*a(n-6) -25070*a(n-7) -256657*a(n-8) +157899*a(n-9) +853784*a(n-10) -581133*a(n-11) -1642795*a(n-12) +1229304*a(n-13) +1838322*a(n-14) -1487824*a(n-15) -1178648*a(n-16) +1019200*a(n-17) +418640*a(n-18) -384000*a(n-19) -79200*a(n-20) +76288*a(n-21) +7360*a(n-22) -7296*a(n-23) -256*a(n-24) +256*a(n-25)

Example

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

Crossrefs

Sequence in context: A203042 A203887 A203880 * A203879 A317395 A212399

Adjacent sequences: A250462 A250463 A250464 * A250466 A250467 A250468

Keyword

nonn

Author

R. H. Hardin, Nov 23 2014

Status

approved