A235218 Number of (n+1)X(3+1) 0..2 arrays with 2X2 edge jumps all no more than +1 in one of the clockwise or counterclockwise directions or both

3037, 145669, 6630699, 306034401, 14077755879, 648127851943, 29833075851519, 1373275806129107, 63213807371611993, 2909829281017511863, 133943834532902027513, 6165638117968536944189, 283813672199542006647705

Offset

1,1

Comments

Column 3 of A235223

Links

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

Formula

Empirical: a(n) = 39*a(n-1) +410*a(n-2) -3737*a(n-3) -13178*a(n-4) +103275*a(n-5) +89722*a(n-6) -961878*a(n-7) -181366*a(n-8) +4083283*a(n-9) -48872*a(n-10) -8784678*a(n-11) +444362*a(n-12) +9715586*a(n-13) -378256*a(n-14) -5306393*a(n-15) +93253*a(n-16) +1319247*a(n-17) +1378*a(n-18) -124156*a(n-19) -3168*a(n-20) +2456*a(n-21)

Example

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

Crossrefs

Sequence in context: A205929 A145049 A108706 * A235662 A235666 A235427

Adjacent sequences: A235215 A235216 A235217 * A235219 A235220 A235221

Keyword

nonn

Author

R. H. Hardin, Jan 05 2014

Status

approved