A253702 Number of (5+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically

680, 602, 878, 1120, 1632, 1914, 2626, 3598, 5568, 7834, 11444, 15184, 21204, 28724, 41780, 59166, 85802, 118564, 166932, 229624, 328208, 460790, 662480, 924528, 1309914, 1817614, 2579176, 3614912, 5154266, 7229288, 10245464, 14314250

Offset

1,1

Comments

Row 5 of A253698

Links

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

Formula

Empirical: a(n) = -a(n-1) +a(n-2) +a(n-3) +2*a(n-4) +3*a(n-5) +2*a(n-7) +3*a(n-8) -6*a(n-9) -5*a(n-10) -4*a(n-11) -6*a(n-12) +6*a(n-13) +6*a(n-14) -5*a(n-15) -5*a(n-16) -8*a(n-17) -6*a(n-18) +6*a(n-19) +6*a(n-20) +5*a(n-21) +3*a(n-22) -a(n-23) +a(n-24) +a(n-25) +a(n-26) +a(n-27) for n>34

Example

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

Crossrefs

Sequence in context: A097772 A257828 A253695 * A235013 A154036 A185765

Adjacent sequences: A253699 A253700 A253701 * A253703 A253704 A253705

Keyword

nonn

Author

R. H. Hardin, Jan 09 2015

Status

approved