A251039 Number of (2+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

636, 6089, 45560, 308423, 1907070, 11102613, 61631550, 329986925, 1716594193, 8725394623, 43515415826, 213616088882, 1034742355384, 4955532988778, 23501229961158, 110506410863818, 515746910495381, 2391204233486532

Offset

1,1

Comments

Row 2 of A251037

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -94*a(n-2) +47*a(n-3) +1342*a(n-4) -3529*a(n-5) -6251*a(n-6) +32794*a(n-7) +3826*a(n-8) -154583*a(n-9) +78628*a(n-10) +449757*a(n-11) -384214*a(n-12) -871126*a(n-13) +949876*a(n-14) +1162304*a(n-15) -1489818*a(n-16) -1081492*a(n-17) +1584172*a(n-18) +698807*a(n-19) -1168177*a(n-20) -306648*a(n-21) +597764*a(n-22) +86772*a(n-23) -208654*a(n-24) -13947*a(n-25) +47793*a(n-26) +736*a(n-27) -6664*a(n-28) +104*a(n-29) +484*a(n-30) -13*a(n-31) -12*a(n-32)

Example

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

Crossrefs

Sequence in context: A061623 A253506 A202048 * A203054 A198774 A043483

Adjacent sequences: A251036 A251037 A251038 * A251040 A251041 A251042

Keyword

nonn

Author

R. H. Hardin, Nov 29 2014

Status

approved