A267913 Number of 2 X n 0..2 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

2, 14, 96, 726, 5046, 35574, 242406, 1653750, 11113926, 74553750, 496532454, 3300259254, 21854907654, 144501754326, 953526151206, 6285325782006, 41384363469126, 272296902013974, 1790471038255206, 11767947840324150

Offset

1,1

Comments

Row 2 of A267911.

Links

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

Formula

Empirical: a(n) = 11*a(n-1) - 2*a(n-2) - 288*a(n-3) + 544*a(n-4) + 1792*a(n-5) - 4096*a(n-6) for n>8.

Empirical g.f.: 2*x*(1 - 4*x - 27*x^2 + 137*x^3 + 98*x^4 - 1016*x^5 + 576*x^6 + 1024*x^7) / ((1 - 4*x)*(1 + 4*x)*(1 - 9*x + 16*x^2)*(1 - 2*x - 16*x^2)). - Colin Barker, Feb 21 2018

Example

Some solutions for n=6:
..0..1..0..2..1..1....0..1..0..2..1..2....0..0..1..1..2..2....0..0..1..0..1..2
..1..1..2..1..2..1....2..2..0..2..1..2....2..1..1..0..0..2....1..0..0..1..2..2

Crossrefs

Cf. A267911.

Sequence in context: A122057 A164891 A141146 * A204699 A286445 A322262

Adjacent sequences: A267910 A267911 A267912 * A267914 A267915 A267916

Keyword

nonn

Author

R. H. Hardin, Jan 22 2016

Status

approved