A205071 Number of (n+1)X8 0..1 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in all its horizontal and vertical neighbors

3516, 638, 850, 1192, 1852, 2752, 4480, 6208, 9168, 12480, 18688, 25664, 38832, 53952, 82224, 114112, 173736, 240704, 366080, 507072, 771160, 1068096, 1624720, 2250304, 3423744, 4741312, 7214768, 9989696, 15203384, 21047488, 32037296

Offset

1,1

Comments

Column 7 of A205072

Links

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

Formula

Empirical: a(n) = 3*a(n-2) -2*a(n-6) -3*a(n-8) -3*a(n-10) -2*a(n-12) +4*a(n-16) +6*a(n-18) +14*a(n-20) +20*a(n-22) +24*a(n-24) +26*a(n-26) +26*a(n-28) +24*a(n-30) +21*a(n-32) +15*a(n-34) +10*a(n-36) +6*a(n-38) +3*a(n-40) +a(n-42) for n>48

Example

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

Crossrefs

Sequence in context: A178871 A317162 A306174 * A263302 A205278 A185920

Adjacent sequences: A205068 A205069 A205070 * A205072 A205073 A205074

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved