A231243 Number of nX5 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero

0, 146, 3090, 76264, 1872136, 46019438, 1130422470, 27772974680, 682321382792, 16763244199326, 411838270131110, 10118017508760932, 248578825697527904, 6107069206409843814, 150038098056691694070, 3686126702598216458948

Offset

1,2

Comments

Column 5 of A231246

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +203*a(n-2) +785*a(n-3) +446*a(n-4) -8109*a(n-5) -27863*a(n-6) -32425*a(n-7) +67085*a(n-8) +92178*a(n-9) -67506*a(n-10) -164672*a(n-11) +79296*a(n-12) +123152*a(n-13) -58240*a(n-14) -80128*a(n-15) +113792*a(n-16) -18944*a(n-17) -11264*a(n-18) +3072*a(n-19)

Example

Some solutions for n=4
..0..3..2..3..0....0..1..2..3..2....0..1..0..3..2....0..1..2..3..0
..2..1..0..1..0....2..3..0..1..2....2..3..0..1..2....0..1..0..1..0
..2..3..2..1..2....0..3..0..3..0....2..3..2..3..2....3..2..3..2..3
..0..1..0..3..0....0..1..2..1..2....2..1..0..1..0....3..0..1..0..1

Crossrefs

Sequence in context: A183662 A183654 A183653 * A166219 A097728 A172877

Adjacent sequences: A231240 A231241 A231242 * A231244 A231245 A231246

Keyword

nonn

Author

R. H. Hardin, Nov 06 2013

Status

approved