A221935 Number of nX5 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, without move-in move-out straight through or left turns

28, 5622, 799632, 119035112, 17626884659, 2611330803361, 386840503637732, 57306383975427486, 8489341273827367120, 1257607107085271304144, 186301337661284652338010, 27598594360590020663604925

Offset

1,1

Comments

Column 5 of A221937

Links

R. H. Hardin, Table of n, a(n) for n = 1..125

Formula

Empirical: a(n) = 139*a(n-1) +1565*a(n-2) -28842*a(n-3) -369727*a(n-4) +1342456*a(n-5) +27113117*a(n-6) +34514978*a(n-7) -1040783248*a(n-8) -752172735*a(n-9) -7514497431*a(n-10) +3813284858*a(n-11) -7857119331*a(n-12) +165551321671*a(n-13) +153295270688*a(n-14) +67167089407*a(n-15) +194143861216*a(n-16) -17802740958*a(n-17) +352253527909*a(n-18) -217093267050*a(n-19) -103711174603*a(n-20) +24768760853*a(n-21) +6245517002*a(n-22) +10757772379*a(n-23) -253702884*a(n-24) -2234119424*a(n-25) +988262416*a(n-26) +31172608*a(n-27) -79610304*a(n-28) +7948800*a(n-29)

Example

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

Crossrefs

Sequence in context: A262018 A131315 A200999 * A230268 A203328 A159407

Adjacent sequences: A221932 A221933 A221934 * A221936 A221937 A221938

Keyword

nonn

Author

R. H. Hardin Feb 01 2013

Status

approved