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 A267913 Number of 2 X n 0..2 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order. 4

%I #9 Feb 21 2018 11:41:37

%S 2,14,96,726,5046,35574,242406,1653750,11113926,74553750,496532454,

%T 3300259254,21854907654,144501754326,953526151206,6285325782006,

%U 41384363469126,272296902013974,1790471038255206,11767947840324150

%N Number of 2 X n 0..2 arrays with every repeated value in every row unequal to the previous repeated value, and in every column equal to the previous repeated value, and new values introduced in row-major sequential order.

%C Row 2 of A267911.

%H R. H. Hardin, <a href="/A267913/b267913.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 11*a(n-1) - 2*a(n-2) - 288*a(n-3) + 544*a(n-4) + 1792*a(n-5) - 4096*a(n-6) for n>8.

%F Empirical g.f.: 2*x*(1 - 4*x - 27*x^2 + 137*x^3 + 98*x^4 - 1016*x^5 + 576*x^6 + 1024*x^7) / ((1 - 4*x)*(1 + 4*x)*(1 - 9*x + 16*x^2)*(1 - 2*x - 16*x^2)). - _Colin Barker_, Feb 21 2018

%e Some solutions for n=6:

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

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

%Y Cf. A267911.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 22 2016

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Last modified February 25 19:44 EST 2024. Contains 370332 sequences. (Running on oeis4.)