A221416 Number of n X 5 arrays of occupancy after each element stays put or moves to some horizontal or antidiagonal neighbor, with every occupancy equal to zero or two.

0, 84, 0, 17792, 0, 3813004, 0, 817415641, 0, 175230221888, 0, 37564072017396, 0, 8052596858631830, 0, 1726232153308945597, 0, 370051730646797787514, 0, 79327848710774305638388, 0, 17005480743351155889065248, 0

Offset

1,2

Comments

Column 5 of A221419.

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical: a(n) = 276*a(n-2) -14620*a(n-4) +318164*a(n-6) -3590954*a(n-8) +22802458*a(n-10) -81585322*a(n-12) +150123806*a(n-14) -95749783*a(n-16) -40860150*a(n-18) +7351166*a(n-20) +978022*a(n-22) -197190*a(n-24) +7072*a(n-26).

Example

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

Crossrefs

Cf. A221419.

Sequence in context: A087532 A116307 A093676 * A130432 A317437 A304379

Adjacent sequences: A221413 A221414 A221415 * A221417 A221418 A221419

Keyword

nonn

Author

R. H. Hardin Jan 15 2013

Status

approved