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A259292 Number of (n+1) X (3+1) 0..1 arrays with each 2 X 2 subblock having clockwise pattern 0001 0101 or 0111. 1
66, 322, 1460, 6870, 31774, 148296, 688966, 3208946, 14925572, 69477150, 323263318, 1504482808, 7000820878, 32580094938, 151610945124, 705543988390, 3283282733102, 15279114925736, 71102455854262, 330882014413154 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) + 18*a(n-2) - 13*a(n-3) - 70*a(n-4) + 24*a(n-5) + 64*a(n-6).

Empirical g.f.: 2*x*(33 + 95*x - 186*x^2 - 494*x^3 + 280*x^4 + 512*x^5) / ((1 + 2*x)*(1 - 4*x - 10*x^2 + 33*x^3 + 4*x^4 - 32*x^5)). - Colin Barker, Dec 25 2018

EXAMPLE

Some solutions for n=4:

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

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

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

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

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

CROSSREFS

Column 3 of A259297.

Sequence in context: A271739 A251055 A251048 * A258958 A120102 A244286

Adjacent sequences:  A259289 A259290 A259291 * A259293 A259294 A259295

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 23 2015

STATUS

approved

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Last modified July 1 07:04 EDT 2022. Contains 354952 sequences. (Running on oeis4.)