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A283539 Number of n X 4 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors. 1
13, 76, 578, 4089, 29558, 212441, 1529463, 11006233, 79212552, 570077446, 4102777829, 29527112394, 212502613535, 1529352107559, 11006537564325, 79212541521540, 570081801265260, 4102800560669769, 29527293115573812 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
Empirical: a(n) = 6*a(n-1) + 10*a(n-2) - 14*a(n-3) + 27*a(n-4) + 26*a(n-5) - 85*a(n-6) - 10*a(n-7) + 16*a(n-8).
Empirical g.f.: x*(13 - 2*x - 8*x^2 + 43*x^3 - 43*x^4 - 95*x^5 + 6*x^6 + 16*x^7) / (1 - 6*x - 10*x^2 + 14*x^3 - 27*x^4 - 26*x^5 + 85*x^6 + 10*x^7 - 16*x^8). - Colin Barker, Feb 21 2019
EXAMPLE
Some solutions for n=4:
..0..0..0..1. .1..1..0..1. .1..0..0..0. .1..0..0..0. .0..0..1..0
..1..0..1..0. .0..0..0..1. .0..1..0..0. .1..0..1..0. .1..0..1..0
..0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..1. .1..0..0..0
..0..0..0..0. .1..1..0..0. .0..0..0..0. .1..1..0..1. .1..0..1..1
CROSSREFS
Column 4 of A283543.
Sequence in context: A269085 A182077 A269071 * A060717 A044200 A329109
KEYWORD
nonn
AUTHOR
R. H. Hardin, Mar 10 2017
STATUS
approved

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Last modified April 15 02:01 EDT 2024. Contains 371667 sequences. (Running on oeis4.)