A251254 Number of (n+1)X(4+1) 0..1 arrays with every 2X2 subblock having a single 1 or two 1s on the same edge

84, 446, 1770, 9130, 38332, 192442, 836546, 4112126, 18298862, 88585834, 400512170, 1918066656, 8765618868, 41663142968, 191790556024, 906821509892, 4194988138126, 19763051033382, 91728816380528, 431069210118044

Offset

1,1

Comments

Column 4 of A251258

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +21*a(n-2) -115*a(n-3) -95*a(n-4) +706*a(n-5) +69*a(n-6) -1492*a(n-7) +208*a(n-8) +987*a(n-9) -228*a(n-10) -111*a(n-11) +28*a(n-12)

Example

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

Crossrefs

Sequence in context: A189543 A251300 A251293 * A349682 A064198 A329935

Adjacent sequences: A251251 A251252 A251253 * A251255 A251256 A251257

Keyword

nonn

Author

R. H. Hardin, Dec 01 2014

Status

approved