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 A274067 Number of n X 3 0..2 arrays with no three equal values forming an isosceles triangle, and new values introduced in 0..2 order. 1

%I #8 Jan 30 2019 09:09:16

%S 5,50,136,111,97,235,197,389,305,589,447,823,621,1089,827,1387,1065,

%T 1717,1335,2079,1637,2473,1971,2899,2337,3357,2735,3847,3165,4369,

%U 3627,4923,4121,5509,4647,6127,5205,6777,5795,7459,6417,8173,7071,8919,7757,9697

%N Number of n X 3 0..2 arrays with no three equal values forming an isosceles triangle, and new values introduced in 0..2 order.

%H R. H. Hardin, <a href="/A274067/b274067.txt">Table of n, a(n) for n = 1..65</a>

%F Empirical: a(n) = a(n-1) + 2*a(n-2) - 2*a(n-3) - a(n-4) + a(n-5) for n>13.

%F Empirical g.f.: x*(5 + 45*x + 76*x^2 - 115*x^3 - 181*x^4 + 233*x^5 + 76*x^6 - 109*x^7 - 22*x^8 + 38*x^9 - 12*x^10 - 2*x^12) / ((1 - x)^3*(1 + x)^2). - _Colin Barker_, Jan 30 2019

%e Some solutions for n=3:

%e ..0..0..1. .0..0..0. .0..1..1. .0..1..1. .0..1..2. .0..1..1. .0..1..2

%e ..2..1..0. .1..2..2. .2..0..2. .2..0..2. .2..0..2. .0..2..2. .0..1..2

%e ..2..1..0. .2..1..1. .2..0..2. .2..1..0. .2..1..0. .2..1..1. .1..2..0

%Y Column 3 of A274068.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 09 2016

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Last modified September 14 01:28 EDT 2024. Contains 375910 sequences. (Running on oeis4.)