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A275187 Number of 7 X n 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,0) or (-1,1) and new values introduced in order 0..2. 1
32, 65, 389, 2386, 14643, 90793, 561044, 3472521, 21488129, 132962186, 822814111, 5091567885, 31507279460, 194970115869, 1206493799669, 7465907869266, 46199772632427, 285888830879985, 1769108624416628, 10947420840825089 (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) = 2*a(n-1) + 20*a(n-2) + 43*a(n-3) - 20*a(n-4) - 92*a(n-5) - 176*a(n-6) - 16*a(n-7) - 16*a(n-8) + 64*a(n-9) for n>10.

Empirical g.f.: x*(32 + x - 381*x^2 - 1068*x^3 - 64*x^4 + 1304*x^5 + 3392*x^6 + 384*x^7 + 496*x^8 - 1216*x^9) / (1 - 2*x - 20*x^2 - 43*x^3 + 20*x^4 + 92*x^5 + 176*x^6 + 16*x^7 + 16*x^8 - 64*x^9). - Colin Barker, Feb 01 2019

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

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

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

CROSSREFS

Row 7 of A275183.

Sequence in context: A235057 A249116 A110562 * A045048 A132773 A116349

Adjacent sequences:  A275184 A275185 A275186 * A275188 A275189 A275190

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jul 19 2016

STATUS

approved

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Last modified May 25 20:58 EDT 2020. Contains 334597 sequences. (Running on oeis4.)