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A250969 Number of (n+1)X(4+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements 1

%I #4 Nov 29 2014 07:27:31

%S 604,12281,249921,5089900,103684186,2112130109,43025963570,

%T 876479703950,17854730951799,363717955042320,7409282841342444,

%U 150934183848595064,3074673806193093731,62634048639412217021,1275915526747412367745

%N Number of (n+1)X(4+1) 0..1 arrays with no 2X2 subblock having the sum of its diagonal elements less than the absolute difference of its antidiagonal elements

%C Column 4 of A250973

%H R. H. Hardin, <a href="/A250969/b250969.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 32*a(n-1) -322*a(n-2) +2227*a(n-3) -12086*a(n-4) +47762*a(n-5) -142463*a(n-6) +321616*a(n-7) -516143*a(n-8) +570208*a(n-9) -437734*a(n-10) +223620*a(n-11) -61118*a(n-12) +2048*a(n-13) -581*a(n-14) +2307*a(n-15) -712*a(n-16) +60*a(n-17)

%e Some solutions for n=2

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 29 2014

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Last modified April 24 00:30 EDT 2024. Contains 371917 sequences. (Running on oeis4.)