The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A202935 Number of (n+3) X 7 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column. 1
130321, 206145, 330853, 533832, 857408, 1360328, 2121734, 3245653, 4866027, 7152307, 10315635, 14615638, 20367858, 27951842, 37819916, 50506667, 66639157, 86947893, 112278577, 143604660, 182040724, 228856716, 285493058, 353576657 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A202939.
LINKS
FORMULA
Empirical: a(n) = (1/210)*n^7 + (11/20)*n^6 + (81/5)*n^5 + (1713/8)*n^4 + (90179/60)*n^3 + (337713/40)*n^2 + (15214631/420)*n + 83919.
Conjectures from Colin Barker, Jun 03 2018: (Start)
G.f.: x*(130321 - 836423*x + 2330681*x^2 - 3638908*x^3 + 3428986*x^4 - 1947234*x^5 + 616520*x^6 - 83919*x^7) / (1 - x)^8.
a(n) = 8*a(n-1) - 28*a(n-2) + 56*a(n-3) - 70*a(n-4) + 56*a(n-5) - 28*a(n-6) + 8*a(n-7) - a(n-8) for n>8.
(End)
EXAMPLE
Some solutions for n=1:
..0..0..0..0..1..1..1....0..0..0..1..0..0..0....0..0..0..1..1..0..1
..0..0..0..1..0..0..0....0..0..0..0..1..0..1....0..0..0..1..1..0..0
..0..0..0..0..0..0..1....0..0..0..1..0..0..0....0..0..0..1..0..1..1
..0..0..1..1..1..1..1....0..1..1..1..1..1..1....0..0..0..0..0..1..0
CROSSREFS
Cf. A202939.
Sequence in context: A210273 A250961 A225026 * A013893 A013693 A103534
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 26 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 14 08:28 EDT 2024. Contains 373393 sequences. (Running on oeis4.)