login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Number of n X n 1..2 arrays containing at least one of each value, and all equal values connected.
2

%I #10 Dec 11 2024 17:17:39

%S 0,12,106,1254,32426,2247486,443968782,255122769986,431534126902662,

%T 2165656440779563158,32418178732724142833570,

%U 1452876796004423753334759362,195482230310004930545348833858390,79131192890976439895988807925969458614,96533107106359142781127117074385161767893162

%N Number of n X n 1..2 arrays containing at least one of each value, and all equal values connected.

%H Andrew Howroyd, <a href="/A166755/b166755.txt">Table of n, a(n) for n = 1..26</a>

%F a(n) = 2*A068416(n). - _Andrew Howroyd_, Dec 11 2024

%e Some solutions for n=4

%e ...1.2.2.2...1.1.1.1...2.2.2.1...2.1.1.1...1.1.1.1...2.2.2.2...1.1.1.2

%e ...1.2.1.2...2.2.2.1...2.2.2.1...2.2.1.1...1.1.2.2...1.2.2.2...2.2.1.2

%e ...1.1.1.2...2.2.2.1...2.2.1.1...1.1.1.1...1.1.2.2...2.2.2.2...2.1.1.2

%e ...2.2.2.2...2.1.1.1...2.2.2.2...1.1.1.1...2.2.2.2...2.2.2.2...2.2.2.2

%e ------

%e ...1.1.1.2...2.1.1.1...2.2.2.2...1.1.1.1...1.1.1.1...1.1.1.1...2.2.2.2

%e ...1.1.2.2...2.1.1.1...2.2.1.2...1.1.1.1...2.2.1.1...1.2.1.2...1.2.2.2

%e ...1.1.1.2...2.2.1.1...2.2.1.2...1.1.2.1...1.2.1.1...1.2.2.2...1.1.2.2

%e ...1.1.2.2...2.2.2.2...2.1.1.1...2.2.2.1...1.1.1.1...1.1.1.2...1.1.1.2

%Y Cf. A068416.

%K nonn,changed

%O 1,2

%A _R. H. Hardin_, Oct 21 2009

%E a(7) onwards added using A068416 by _Andrew Howroyd_, Dec 11 2024