A250698 Number of (7+1)X(n+1) 0..3 arrays with nondecreasing 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

1005121, 7249825, 37322413, 160222342, 617657415, 2224688673, 7662909389, 25622390948, 84040600357, 272488719033, 878393149045, 2826884204762, 9107833801683, 29426182298097, 95415082577317, 310574007541112

Offset

1,1

Comments

Row 7 of A250691

Links

R. H. Hardin, Table of n, a(n) for n = 1..22

Formula

Empirical: a(n) = 30*a(n-1) -415*a(n-2) +3514*a(n-3) -20386*a(n-4) +85924*a(n-5) -272198*a(n-6) +661180*a(n-7) -1244717*a(n-8) +1822478*a(n-9) -2068955*a(n-10) +1802474*a(n-11) -1181760*a(n-12) +563888*a(n-13) -184752*a(n-14) +37152*a(n-15) -3456*a(n-16)

Example

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

Crossrefs

Sequence in context: A065325 A245210 A357098 * A250683 A065326 A213904

Adjacent sequences: A250695 A250696 A250697 * A250699 A250700 A250701

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved