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A253432 Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. 1

%I #8 Dec 12 2018 09:40:18

%S 181,174,192,228,300,444,732,1308,2460,4764,9372,18588,37020,73884,

%T 147612,295068,589980,1179804,2359452,4718748,9437340,18874524,

%U 37748892,75497628,150995100,301990044,603979932,1207959708,2415919260,4831838364

%N Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

%H R. H. Hardin, <a href="/A253432/b253432.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 3*a(n-1) - 2*a(n-2) for n>3.

%F Empirical: a(n) = 9*2^(n-1) + 156 for n>1.

%F Empirical g.f.: x*(181 - 369*x + 32*x^2) / ((1 - x)*(1 - 2*x)). - _Colin Barker_, Dec 12 2018

%e Some solutions for n=4:

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

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

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

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

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

%Y Column 5 of A253435.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 31 2014

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Last modified September 7 13:22 EDT 2024. Contains 375730 sequences. (Running on oeis4.)