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A255751 Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Mar 05 2015 14:08:21

%S 8776,24536,51064,71651,81494,108201,145536,211742,299128,414453,

%T 561720,828476,1176512,1635984,2225984,3293008,4684384,6521408,

%U 8880544,13147776,18712416,26059648,35495328,52563392,74821088,104209152,141951008

%N Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the medians of the diagonal and antidiagonal minus the two sums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Column 3 of A255756

%H R. H. Hardin, <a href="/A255751/b255751.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) -a(n-2) +4*a(n-4) -8*a(n-5) +4*a(n-6) for n>18

%e Some solutions for n=4

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

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

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

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

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

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

%Y Cf. A255756

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 05 2015

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Last modified February 24 01:16 EST 2024. Contains 370288 sequences. (Running on oeis4.)