A206069 Number of (n+1)X6 0..2 arrays with every 2X3 or 3X2 subblock having exactly three clockwise edge increases

7878, 103194, 1967814, 38532894, 759076386, 14970344658, 295275611838, 5823726851622, 114855474850530, 2265100634575482, 44669845159506126, 880919674587106662, 17372218977042484098, 342588405720989078730

Offset

1,1

Comments

Column 5 of A206072

Links

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

Formula

Empirical: a(n) = 50*a(n-1) -967*a(n-2) +9758*a(n-3) -58681*a(n-4) +225870*a(n-5) -576896*a(n-6) +980296*a(n-7) -1057712*a(n-8) +604854*a(n-9) +7921*a(n-10) -283098*a(n-11) +215171*a(n-12) -85894*a(n-13) +23942*a(n-14) -5340*a(n-15) +663*a(n-16) for n>21

Example

Some solutions for n=4
..1..2..0..2..1..1....2..1..1..0..2..1....1..0..0..1..0..0....1..0..1..1..0..1
..2..1..2..1..0..2....1..0..2..1..0..2....0..2..1..0..2..1....2..1..0..2..1..2
..1..2..0..2..1..0....0..1..0..2..1..0....2..0..2..1..0..2....1..2..1..0..2..0
..1..0..1..0..2..1....0..2..1..0..2..1....0..1..0..2..1..0....1..0..2..1..0..1
..2..1..0..1..0..2....1..0..2..1..0..2....0..2..1..0..2..1....0..2..0..2..1..2

Crossrefs

Sequence in context: A268583 A045292 A115426 * A237969 A256163 A171111

Adjacent sequences: A206066 A206067 A206068 * A206070 A206071 A206072

Keyword

nonn

Author

R. H. Hardin Feb 03 2012

Status

approved