A219411 Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal or antidiagonal neighbor in a random 0..2 2 X n array.

1, 7, 28, 98, 351, 1261, 4523, 16233, 58268, 209132, 750597, 2693993, 9669101, 34703683, 124556124, 447048462, 1604516243, 5758821685, 20669175143, 74184412085, 266257698140, 955634207080, 3429897967721, 12310358902801

Offset

1,2

Comments

Row 2 of A219410.

Links

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

Formula

Empirical: a(n) = 4*a(n-1) - 3*a(n-2) + 6*a(n-3) - 3*a(n-4) + 4*a(n-5).

Empirical g.f.: x*(1 + 3*x + 3*x^2 + x^3 + 4*x^4) / ((1 - x + x^2)*(1 - 3*x - x^2 - 4*x^3)). - Colin Barker, Jul 26 2018

Example

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

Crossrefs

Cf. A219410.

Sequence in context: A193654 A356038 A241400 * A224404 A370487 A331197

Adjacent sequences: A219408 A219409 A219410 * A219412 A219413 A219414

Keyword

nonn

Author

R. H. Hardin, Nov 19 2012

Status

approved