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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A202937 Number of (n+3) X 9 binary arrays with consecutive windows of four bits considered as a binary number nondecreasing in every row and column. 1
194481, 359970, 695114, 1360328, 2631416, 4958318, 9044252, 15949741, 27226555, 45087162, 72615870, 114028454, 174987698, 262982942, 387782408, 561967787, 801561301, 1126756210, 1562762514, 2140780404, 2899114844, 3884445518 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A202939.

LINKS

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

FORMULA

Empirical: a(n) = (1/15120)*n^9 + (1/96)*n^8 + (235/504)*n^7 + (725/72)*n^6 + 125*n^5 + (276005/288)*n^4 + (13991149/3024)*n^3 + (1320845/72)*n^2 + (24830539/420)*n + 111295.

Conjectures from Colin Barker, Jun 03 2018: (Start)

G.f.: x*(194481 - 1584840*x + 5847059*x^2 - 12729882*x^3 + 17952876*x^4 - 16970274*x^5 + 10737942*x^6 - 4382257*x^7 + 1046214*x^8 - 111295*x^9) / (1 - x)^10.

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10) for n>10.

(End)

EXAMPLE

Some solutions for n=1:

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

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

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

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

CROSSREFS

Cf. A202939.

Sequence in context: A254995 A232202 A131907 * A013901 A206052 A237088

Adjacent sequences:  A202934 A202935 A202936 * A202938 A202939 A202940

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 11 02:24 EST 2019. Contains 329910 sequences. (Running on oeis4.)