A250690 Number of (n+1)X(7+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

780551, 3894542, 19218493, 92169818, 420283865, 1832718604, 7662909389, 30911828018, 121133941641, 463951270668, 1745661462155, 6479480240674, 23806631357499, 86830525247352, 315154449951319, 1140724783380058

Offset

1,1

Comments

Column 7 of A250691

Links

R. H. Hardin, Table of n, a(n) for n = 1..33

Formula

Empirical: a(n) = 27*a(n-1) -331*a(n-2) +2439*a(n-3) -12049*a(n-4) +42129*a(n-5) -107225*a(n-6) +201069*a(n-7) -277706*a(n-8) +278928*a(n-9) -197984*a(n-10) +94032*a(n-11) -26784*a(n-12) +3456*a(n-13) for n>17

Example

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

Crossrefs

Sequence in context: A157357 A146953 A257757 * A233948 A204312 A237089

Adjacent sequences: A250687 A250688 A250689 * A250691 A250692 A250693

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved