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.

2, 4, 20, 24, 98, 94, 338, 289, 936, 734, 2234, 1656, 4770, 3370, 9344, 6375, 17100, 11322, 29600, 19138, 48920, 30982, 77764, 48417, 119558, 73316, 178582, 108108, 260106, 155646, 370516, 219489, 517470, 303748, 710068, 413442, 959000, 554256

Offset: 1

Author

R. H. Hardin Dec 02 2011

Keywords

• nonn

Comments

Column 7 of A201503

Examples

			Some solutions for n=4
..0..0..0..0..0..0..1....0..0..0..0..0..0..1....0..0..0..0..0..0..0
..0..0..0..0..0..0..1....0..0..0..0..1..1..1....0..0..0..0..1..1..1
..0..1..1..1..1..1..1....0..0..1..1..1..1..1....0..0..0..1..1..1..1
..0..1..1..1..1..1..1....0..0..1..1..1..1..1....1..1..1..1..1..1..1
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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)

Even terms are A188185((n-4)/2)