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A275133 Number of 4 X n 0..2 arrays with no element equal to any value at offset (-2,-2) (-1,0) or (-1,1) and new values introduced in order 0..2. 1
4, 36, 129, 568, 2545, 11092, 48451, 212897, 933888, 4092697, 17946318, 78700481, 345078541, 1513083403, 6634687537, 29092060534, 127563508661, 559344843153, 2452635533674, 10754397617406, 47156241405767, 206772290181505 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = a(n-1) + 8*a(n-2) + 22*a(n-3) + 36*a(n-4) + 7*a(n-5) - 48*a(n-6) - 4*a(n-7) + 15*a(n-8) - 18*a(n-9) for n>11.
Empirical g.f.: x*(4 + 32*x + 61*x^2 + 63*x^3 + 9*x^4 - 159*x^5 - 201*x^6 + 113*x^7 + 39*x^8 - 104*x^9 + 48*x^10) / (1 - x - 8*x^2 - 22*x^3 - 36*x^4 - 7*x^5 + 48*x^6 + 4*x^7 - 15*x^8 + 18*x^9). - Colin Barker, Jan 31 2019
EXAMPLE
Some solutions for n=4:
..0..0..1..1. .0..0..1..1. .0..0..1..2. .0..0..1..0. .0..0..0..1
..2..2..0..0. .2..2..0..0. .1..2..0..0. .2..2..2..2. .1..1..2..0
..1..1..1..2. .0..1..2..2. .0..1..1..1. .0..0..1..1. .0..0..1..2
..0..0..0..1. .2..0..0..0. .2..2..0..0. .2..2..0..0. .2..2..0..0
CROSSREFS
Row 4 of A275131.
Sequence in context: A072109 A045490 A318150 * A060783 A296948 A125756
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jul 17 2016
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)