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A201502 Number of nX7 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.

%I A201502 #7 Jul 22 2025 16:16:54
%S A201502 2,4,20,24,98,94,338,289,936,734,2234,1656,4770,3370,9344,6375,17100,
%T A201502 11322,29600,19138,48920,30982,77764,48417,119558,73316,178582,108108,
%U A201502 260106,155646,370516,219489,517470,303748,710068,413442,959000,554256
%N A201502 Number of nX7 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.
%C A201502 Column 7 of A201503
%H A201502 R. H. Hardin, <a href="/A201502/b201502.txt">Table of n, a(n) for n = 1..210</a>
%F A201502 Empirical: a(n) = a(n-1) +2*a(n-2) -3*a(n-3) +a(n-4) +2*a(n-5) -4*a(n-6) +2*a(n-7) +2*a(n-8) -4*a(n-9) +a(n-10) +3*a(n-11) -3*a(n-12) +a(n-14) -a(n-15) +2*a(n-16) -a(n-17) +a(n-19) -a(n-20) +a(n-22) -a(n-23) +a(n-25) -2*a(n-26) +a(n-27) -a(n-28) +3*a(n-30) -3*a(n-31) -a(n-32) +4*a(n-33) -2*a(n-34) -2*a(n-35) +4*a(n-36) -2*a(n-37) -a(n-38) +3*a(n-39) -2*a(n-40) -a(n-41) +a(n-42)
%F A201502 Even terms are A188185((n-4)/2)
%e A201502 Some solutions for n=4
%e A201502 ..0..0..0..0..0..0..1....0..0..0..0..0..0..1....0..0..0..0..0..0..0
%e A201502 ..0..0..0..0..0..0..1....0..0..0..0..1..1..1....0..0..0..0..1..1..1
%e A201502 ..0..1..1..1..1..1..1....0..0..1..1..1..1..1....0..0..0..1..1..1..1
%e A201502 ..0..1..1..1..1..1..1....0..0..1..1..1..1..1....1..1..1..1..1..1..1
%K A201502 nonn
%O A201502 1,1
%A A201502 _R. H. Hardin_ Dec 02 2011