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!)
A218227 Hilltop maps: number of n X 2 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X 2 array. 1
3, 15, 61, 241, 961, 3839, 15327, 61185, 244257, 975105, 3892739, 15540287, 62038717, 247666113, 988713281, 3947063807, 15757159327, 62904498689, 251122418273, 1002511271425, 4002147065347, 15977058402447, 63782362573693 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 2 of A218233.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) + 3*a(n-2) + 3*a(n-3) + 3*a(n-4) + a(n-5) + a(n-6) + a(n-7) + a(n-8) + a(n-9).

Empirical g.f.: x*(3 + 6*x + 7*x^2 + 4*x^3 + x^4 + 2*x^5 + 3*x^6 + 2*x^7 + x^8) / (1 - 3*x - 3*x^2 - 3*x^3 - 3*x^4 - x^5 - x^6 - x^7 - x^8 - x^9). - Colin Barker, Jul 24 2018

EXAMPLE

Some solutions for n=3:

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

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

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

CROSSREFS

Cf. A218233.

Sequence in context: A001655 A058749 A292483 * A072336 A122671 A317181

Adjacent sequences:  A218224 A218225 A218226 * A218228 A218229 A218230

KEYWORD

nonn

AUTHOR

R. H. Hardin, Oct 24 2012

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 28 15:11 EDT 2022. Contains 354907 sequences. (Running on oeis4.)