login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A183981 1/4 the number of (n+1) X 5 binary arrays with all 2 X 2 subblock sums the same. 1
15, 17, 20, 26, 36, 56, 92, 164, 300, 572, 1100, 2156, 4236, 8396, 16652, 33164, 66060, 131852, 263180, 525836, 1050636, 2100236, 4198412, 8394764, 16785420, 33566732, 67125260, 134242316, 268468236, 536920076, 1073807372, 2147581964, 4295098380 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A183986.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..200

FORMULA

Empirical: a(n) = 3*a(n-1) - 6*a(n-3) + 4*a(n-4).

Conjectures from Colin Barker, Apr 08 2018: (Start)

G.f.: x*(15 - 28*x - 31*x^2 + 56*x^3) / ((1 - x)*(1 - 2*x)*(1 - 2*x^2)).

a(n) = 3*2^(n/2-1) + 2^(n-1) + 12 for n even.

a(n) = 2^(n-1) + 2^((n+1)/2) + 12 for n odd.

(End)

EXAMPLE

Some solutions for 7 X 5:

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

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

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

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

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

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

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

CROSSREFS

Cf. A183986.

Sequence in context: A043669 A043704 A074748 * A155111 A124334 A002155

Adjacent sequences:  A183978 A183979 A183980 * A183982 A183983 A183984

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 08 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 26 16:55 EDT 2019. Contains 321510 sequences. (Running on oeis4.)