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A241329 Number of 2 X n 0..3 arrays with no element equal to fewer vertical neighbors than horizontal neighbors, with new values 0..3 introduced in row major order. 1
2, 8, 59, 530, 4877, 45057, 416533, 3851085, 35606121, 329205872, 3043762177, 28141931363, 260193887579, 2405693427789, 22242493569775, 205649030142198, 1901384099152245, 17579764368539693, 162538497819201097 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 12*a(n-1) - 26*a(n-2) + 2*a(n-3) + 28*a(n-4) - 6*a(n-5) - 9*a(n-6) for n>8.

Empirical g.f.: x*(2 - 16*x + 15*x^2 + 26*x^3 - 21*x^4 - 17*x^5 + 5*x^6 + 3*x^7) / ((1 - x)*(1 - x - x^2)*(1 - 10*x + 6*x^2 + 9*x^3)). - Colin Barker, Oct 29 2018

EXAMPLE

Some solutions for n=4:

..0..1..2..1....0..1..2..3....0..1..2..3....0..0..1..2....0..1..2..3

..1..2..1..0....3..0..3..0....2..3..1..3....0..0..1..3....3..1..3..2

CROSSREFS

Row 2 of A241328.

Sequence in context: A162072 A162073 A162065 * A346065 A349585 A178165

Adjacent sequences:  A241326 A241327 A241328 * A241330 A241331 A241332

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 19 2014

STATUS

approved

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Last modified December 1 05:20 EST 2021. Contains 349426 sequences. (Running on oeis4.)