A205316 Number of (n+1)X7 0..1 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order

1460, 35500, 882182, 22091516, 554916092, 13956665238, 351210375464, 8839958693704, 222522561716050, 5601638723985320, 141014378310113564, 3549888849256712462, 89364987835152404176, 2249679176828409331216

Offset

1,1

Comments

Column 6 of A205318

Links

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

Formula

Empirical: a(n) = 56*a(n-1) -1164*a(n-2) +12439*a(n-3) -78536*a(n-4) +314610*a(n-5) -829844*a(n-6) +1464316*a(n-7) -1728640*a(n-8) +1345964*a(n-9) -671600*a(n-10) +205552*a(n-11) -36416*a(n-12) +3392*a(n-13) -128*a(n-14)

Example

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

Crossrefs

Sequence in context: A219725 A219722 A237947 * A283493 A232347 A251942

Adjacent sequences: A205313 A205314 A205315 * A205317 A205318 A205319

Keyword

nonn

Author

R. H. Hardin Jan 25 2012

Status

approved