A251038 Number of (1+1)X(n+1) 0..3 arrays with nondecreasing min(x(i,j),x(i,j-1)) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction

110, 711, 4050, 21720, 110852, 546600, 2624313, 12343573, 57116869, 260828863, 1178253507, 5274772080, 23435131926, 103447436545, 454103279511, 1983776981901, 8629751790534, 37401619581258, 161567196684667

Offset

1,1

Comments

Row 1 of A251037

Links

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

Formula

Empirical: a(n) = 10*a(n-1) -25*a(n-2) -30*a(n-3) +146*a(n-4) +31*a(n-5) -287*a(n-6) -50*a(n-7) +239*a(n-8) +59*a(n-9) -86*a(n-10) -27*a(n-11) +11*a(n-12) +4*a(n-13)

Example

Some solutions for n=4
..1..2..1..3..2....0..3..1..0..0....0..1..3..0..3....2..1..3..1..3
..1..2..1..3..2....0..2..2..1..3....0..1..3..1..1....2..2..2..2..2

Crossrefs

Sequence in context: A250536 A250529 A251037 * A074240 A283084 A283180

Adjacent sequences: A251035 A251036 A251037 * A251039 A251040 A251041

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved