A205070 Number of (n+1)X7 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

1432, 386, 524, 784, 1232, 1984, 2752, 3936, 5728, 8288, 12160, 17872, 26240, 38512, 56480, 82744, 121280, 177648, 260448, 381528, 559488, 819728, 1201888, 1761224, 2581728, 3783824, 5545600, 8129368, 11912032, 17465728, 25586784, 37524656

Offset

1,1

Comments

Column 6 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) +a(n-14) +2*a(n-16) +9*a(n-18) +14*a(n-20) +17*a(n-22) +18*a(n-24) +17*a(n-26) +15*a(n-28) +10*a(n-30) +6*a(n-32) +3*a(n-34) +a(n-36) for n>41

Example

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

Crossrefs

Sequence in context: A147695 A151996 A208628 * A169822 A114083 A143475

Adjacent sequences: A205067 A205068 A205069 * A205071 A205072 A205073

Keyword

nonn

Author

R. H. Hardin Jan 21 2012

Status

approved