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 A268014 Number of n X 2 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value. 4

%I #6 May 04 2021 14:04:12

%S 9,81,729,6084,49284,386884,2965284,22268961,164378041,1195430625,

%T 8581613769,60904316944,427872974400,2978730810000,20567785069584,

%U 140966727989481,959632952511249,6492348190361881,43674091151207841

%N Number of n X 2 0..2 arrays with every repeated value in every row and column greater than or equal to the previous repeated value.

%C Column 2 of A268019.

%H R. H. Hardin, <a href="/A268014/b268014.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 25*a(n-1) -225*a(n-2) +745*a(n-3) +475*a(n-4) -6275*a(n-5) -885*a(n-6) +22525*a(n-7) +22525*a(n-8) -885*a(n-9) -6275*a(n-10) +475*a(n-11) +745*a(n-12) -225*a(n-13) +25*a(n-14) -a(n-15).

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A268019.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 24 2016

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Last modified June 8 18:04 EDT 2023. Contains 363165 sequences. (Running on oeis4.)