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

1,1

Comments

Column 7 of A201503

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)

Example

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

Crossrefs

Sequence in context: A033180 A215815 A295826 * A069535 A108866 A259122

Adjacent sequences: A201499 A201500 A201501 * A201503 A201504 A201505

Keyword

nonn

Author

R. H. Hardin Dec 02 2011

Status

approved