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A232150 Number of 2 X n 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally. 1

%I #8 Oct 03 2018 10:41:34

%S 1,23,191,1299,9097,65837,474721,3410799,24510495,176212555,

%T 1266835473,9107139805,65470085209,470658881191,3383528394527,

%U 24323895055139,174862377541881,1257070592095501,9036972483506993,64966018290364927

%N Number of 2 X n 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally, diagonally or antidiagonally.

%H R. H. Hardin, <a href="/A232150/b232150.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 6*a(n-1) + 4*a(n-2) + 25*a(n-3) + 60*a(n-4) - 24*a(n-5) - 72*a(n-6).

%F Empirical g.f.: x*(1 + 17*x + 49*x^2 + 36*x^3 - 96*x^4 - 72*x^5) / (1 - 6*x - 4*x^2 - 25*x^3 - 60*x^4 + 24*x^5 + 72*x^6). - _Colin Barker_, Oct 03 2018

%e Some solutions for n=6.

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

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

%Y Row 2 of A232149.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 19 2013

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Last modified April 23 13:41 EDT 2024. Contains 371914 sequences. (Running on oeis4.)