A250705 Number of (n+1)X(6+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

521684, 9240474, 122690762, 1307242006, 11455263558, 85271480338, 550734848033, 3145868632088, 16145490726264, 75408944337595, 324009796408559, 1291900299519718, 4815955351650469, 16888308741660263

Offset

1,1

Comments

Column 6 of A250707

Links

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

Formula

Empirical: a(n) = 14*a(n-1) -74*a(n-2) +126*a(n-3) +410*a(n-4) -2282*a(n-5) +2318*a(n-6) +9382*a(n-7) -28588*a(n-8) +1730*a(n-9) +111930*a(n-10) -148590*a(n-11) -181090*a(n-12) +617930*a(n-13) -152270*a(n-14) -1299718*a(n-15) +1460827*a(n-16) +1319948*a(n-17) -3623652*a(n-18) +516460*a(n-19) +5073956*a(n-20) -4095844*a(n-21) -3851316*a(n-22) +7152444*a(n-23) -7152444*a(n-25) +3851316*a(n-26) +4095844*a(n-27) -5073956*a(n-28) -516460*a(n-29) +3623652*a(n-30) -1319948*a(n-31) -1460827*a(n-32) +1299718*a(n-33) +152270*a(n-34) -617930*a(n-35) +181090*a(n-36) +148590*a(n-37) -111930*a(n-38) -1730*a(n-39) +28588*a(n-40) -9382*a(n-41) -2318*a(n-42) +2282*a(n-43) -410*a(n-44) -126*a(n-45) +74*a(n-46) -14*a(n-47) +a(n-48) for n>65

Example

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

Crossrefs

Sequence in context: A186171 A251043 A364263 * A366823 A237217 A237248

Adjacent sequences: A250702 A250703 A250704 * A250706 A250707 A250708

Keyword

nonn

Author

R. H. Hardin, Nov 26 2014

Status

approved