A250582 Number of (n+1)X(7+1) 0..1 arrays with nondecreasing max(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

1428, 4009, 9346, 20510, 44104, 94623, 203560, 441215, 963419, 2122436, 4711190, 10539254, 23725417, 53732313, 122262118, 279395064, 640562123, 1472887183, 3394038277, 7835913688, 18116152652, 41934181304, 97151672669, 225248699646

Offset

1,1

Comments

Column 7 of A250583

Links

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

Formula

Empirical: a(n) = 8*a(n-1) -20*a(n-2) -5*a(n-3) +113*a(n-4) -184*a(n-5) -13*a(n-6) +366*a(n-7) -407*a(n-8) +49*a(n-9) +244*a(n-10) -210*a(n-11) +59*a(n-12) +7*a(n-13) -7*a(n-14) +a(n-15) for n>19

Example

Some solutions for n=6
..0..0..0..0..0..0..0..0....0..0..0..0..0..0..1..1....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..0....0..0..0..0..0..1..1..1....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..1....0..0..0..1..1..1..1..1....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..1....1..0..1..1..1..1..1..1....0..0..0..0..0..0..0..0
..0..0..0..0..0..0..0..1....0..1..0..1..1..1..1..1....0..0..1..0..0..0..0..0
..0..0..0..0..0..0..0..1....1..0..1..1..1..1..1..1....0..1..0..1..0..1..1..1
..0..1..0..0..1..1..1..1....0..1..1..1..1..1..1..1....1..0..1..0..1..0..1..1

Crossrefs

Sequence in context: A068572 A236897 A163589 * A260283 A156853 A292704

Adjacent sequences: A250579 A250580 A250581 * A250583 A250584 A250585

Keyword

nonn

Author

R. H. Hardin, Nov 25 2014

Status

approved