A205253 Number of (n+1)X7 0..1 arrays with the number of clockwise edge increases in every 2X2 subblock the same

2920, 71000, 1764364, 44183032, 1109832184, 27913330476, 702420750928, 17679917387408, 445045123432100, 11203277447970640, 282028756620227128, 7099777698513424924, 178729975670304808352, 4499358353656818662432

Offset

1,1

Comments

Column 6 of A205255

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..1..0..0..1..0..1....0..1..1..1..0..0..1....1..1..0..0..0..0..1
..1..1..0..1..1..0..0....0..1..0..0..0..1..1....1..0..0..1..0..1..1
..0..0..0..0..1..1..0....1..1..1..0..1..1..0....1..0..1..1..1..1..0
..0..1..0..1..1..0..0....1..0..1..0..0..0..0....1..1..1..0..1..0..0
..0..0..0..1..0..0..1....0..0..1..0..1..1..1....1..0..0..0..0..0..1

Crossrefs

Sequence in context: A358879 A054830 A031552 * A251353 A036260 A180651

Adjacent sequences: A205250 A205251 A205252 * A205254 A205255 A205256

Keyword

nonn

Author

R. H. Hardin Jan 24 2012

Status

approved