A250604 - OEIS

A250604

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

11, 64, 297, 1126, 3691, 10928, 30113, 78814, 198651, 486784, 1167337, 2752166, 6400283, 14716576, 33517185, 75712510, 169810507, 378463376, 838772201, 1849580902, 4059957771

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OFFSET

1,1

COMMENTS

Diagonal of A250611

LINKS

Table of n, a(n) for n=1..21.

FORMULA

Empirical: a(n) = 11*a(n-1) -52*a(n-2) +138*a(n-3) -225*a(n-4) +231*a(n-5) -146*a(n-6) +52*a(n-7) -8*a(n-8)

EXAMPLE

Some solutions for n=6

..1..1..0..1..1..1..0....1..0..1..0..0..1..0....1..1..1..1..1..0..0

..1..1..0..1..1..1..0....1..0..1..0..0..1..1....0..0..0..0..1..0..0

..1..1..0..1..1..1..0....0..0..1..0..0..1..1....0..0..0..0..1..0..1

..0..1..0..1..1..1..0....0..0..1..0..0..1..1....0..0..0..0..1..0..1

CROSSREFS

Sequence in context: A357959 A285361 A237358 * A233164 A215445 A184055

Adjacent sequences: A250601 A250602 A250603 * A250605 A250606 A250607

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 26 2014

STATUS

approved