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A251168 Number of (n+1)X(1+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements 1

%I #5 Nov 30 2014 17:41:04

%S 136,1192,10950,100462,923568,8489391,78041038,717407430,6594934034,

%T 60625431213,557313169470,5123228901373,47096454988079,

%U 432944947883506,3979945582315056,36586561212082291,336330342630415136

%N Number of (n+1)X(1+1) 0..3 arrays with no 2X2 subblock having the minimum of its diagonal elements less than the absolute difference of its antidiagonal elements

%C Column 1 of A251175

%H R. H. Hardin, <a href="/A251168/b251168.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +16*a(n-2) -40*a(n-3) -63*a(n-4) +38*a(n-5) +87*a(n-6) +11*a(n-7) -35*a(n-8) -10*a(n-9) +5*a(n-10) -2*a(n-11) -4*a(n-12) -2*a(n-13)

%e Some solutions for n=4

%e ..2..1....2..2....2..2....2..2....2..1....1..1....2..3....3..1....1..0....2..3

%e ..0..3....2..0....1..2....1..2....1..2....2..1....2..2....1..3....1..2....3..0

%e ..3..3....2..3....2..1....3..3....2..0....2..2....1..2....2..3....3..3....1..1

%e ..3..1....2..3....3..2....2..1....1..2....2..1....1..2....2..2....1..2....2..2

%e ..2..1....2..1....1..3....0..1....2..2....2..1....1..3....0..2....3..1....3..2

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 30 2014

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Last modified April 24 02:28 EDT 2024. Contains 371917 sequences. (Running on oeis4.)