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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

%I #7 Feb 21 2019 08:18:56

%S 13,76,578,4089,29558,212441,1529463,11006233,79212552,570077446,

%T 4102777829,29527112394,212502613535,1529352107559,11006537564325,

%U 79212541521540,570081801265260,4102800560669769,29527293115573812

%N Number of n X 4 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors.

%H R. H. Hardin, <a href="/A283539/b283539.txt">Table of n, a(n) for n = 1..210</a>

%F 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).

%F 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

%e Some solutions for n=4:

%e ..0..0..0..1. .1..1..0..1. .1..0..0..0. .1..0..0..0. .0..0..1..0

%e ..1..0..1..0. .0..0..0..1. .0..1..0..0. .1..0..1..0. .1..0..1..0

%e ..0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..0..1. .1..0..0..0

%e ..0..0..0..0. .1..1..0..0. .0..0..0..0. .1..1..0..1. .1..0..1..1

%Y Column 4 of A283543.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 10 2017

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Last modified May 24 22:03 EDT 2024. Contains 372782 sequences. (Running on oeis4.)