A230522 Number of nX4 0..2 arrays x(i,j) with each element horizontally, vertically, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 3, and upper left element zero

0, 576, 29618, 1787448, 110423366, 6768331956, 415065958262, 25457364392092, 1561331948614650, 95758535202463608, 5873000943820258566, 360199070693628458512, 22091494902203014065954, 1354901188204245617173920

Offset

1,2

Comments

Column 4 of A230526

Links

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

Formula

Empirical: a(n) = 49*a(n-1) +623*a(n-2) +8106*a(n-3) +7624*a(n-4) -167693*a(n-5) -2292440*a(n-6) -5898234*a(n-7) -9101638*a(n-8) +16551780*a(n-9) +44691360*a(n-10) +52428528*a(n-11) -38453760*a(n-12) -18271680*a(n-13) -2291328*a(n-14) +4852224*a(n-15)

Example

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

Crossrefs

Sequence in context: A354021 A282780 A268638 * A223301 A168660 A268903

Adjacent sequences: A230519 A230520 A230521 * A230523 A230524 A230525

Keyword

nonn

Author

R. H. Hardin, Oct 22 2013

Status

approved