A279658 Number of 2 X n 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.

0, 3, 27, 254, 2301, 19053, 149696, 1124969, 8178511, 57898166, 401186545, 2731110793, 18318459744, 121328163101, 794920836163, 5159325575790, 33210311871861, 212217346520565, 1347303236328128, 8503951716838241

Offset

1,2

Comments

Row 2 of A279657.

Links

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

Formula

Empirical: a(n) = 17*a(n-1) -90*a(n-2) +75*a(n-3) +591*a(n-4) -924*a(n-5) -1263*a(n-6) +2511*a(n-7) +810*a(n-8) -2675*a(n-9) +409*a(n-10) +924*a(n-11) -464*a(n-12) +64*a(n-13).

Example

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

Crossrefs

Cf. A279657.

Sequence in context: A163474 A235373 A361895 * A370620 A373818 A378612

Adjacent sequences: A279655 A279656 A279657 * A279659 A279660 A279661

Keyword

nonn

Author

R. H. Hardin, Dec 16 2016

Status

approved