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A275395
Number of n X 2 0..2 arrays with no element equal to any value at offset (-2,-1) (-2,0) or (-1,1) and new values introduced in order 0..2.
1
2, 9, 16, 31, 63, 129, 260, 534, 1083, 2210, 4496, 9157, 18653, 37980, 77372, 157551, 320905, 653525, 1331010, 2710764, 5520787, 11243865, 22899407, 46637722, 94983335, 193445757, 393976458, 802382692, 1634153628, 3328158969, 6778215744
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + a(n-2) - 3*a(n-3) + a(n-4) + 4*a(n-5) - 3*a(n-6) + a(n-7) - 2*a(n-8) + a(n-9) for n>10.
Empirical g.f.: x*(2 + 5*x - 4*x^2 - 4*x^3 + 10*x^4 + 3*x^5 - 14*x^6 + 4*x^7 - 2*x^8 + 2*x^9) / (1 - 2*x - x^2 + 3*x^3 - x^4 - 4*x^5 + 3*x^6 - x^7 + 2*x^8 - x^9). - Colin Barker, Feb 04 2019
EXAMPLE
Some solutions for n=4:
..0..1. .0..1. .0..0. .0..1. .0..1. .0..0. .0..1. .0..1. .0..0. .0..0
..0..1. .0..2. .1..2. .0..0. .2..2. .1..0. .2..0. .2..2. .1..0. .1..1
..2..2. .1..2. .1..1. .2..2. .1..2. .2..1. .1..2. .1..2. .2..1. .2..1
..1..2. .1..1. .2..0. .1..2. .0..0. .2..2. .0..1. .1..0. .0..2. .2..0
CROSSREFS
Column 2 of A275401.
Sequence in context: A101420 A275498 A248434 * A213389 A304907 A237282
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 26 2016
STATUS
approved