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!)
A196805 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,2,3,0,1 for x=0,1,2,3,4 1
1, 7, 37, 193, 1515, 8719, 52291, 334317, 2067173, 12663609, 78727511, 488078559, 3014804713, 18665197193, 115593457951, 715253390987, 4426801402571, 27403189146691, 169608418907807, 1049766166947791, 6497692031157569 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 2's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 1's

Column 4 of A196809

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +9*a(n-2) +82*a(n-3) +137*a(n-4) +25*a(n-5) -6*a(n-6) +79*a(n-7) -153*a(n-8) -112*a(n-9) +76*a(n-10) -160*a(n-11) +136*a(n-12) -24*a(n-13)

EXAMPLE

Some solutions for n=5

..0..0..3..0....0..0..3..0....0..0..0..0....0..3..0..0....0..0..0..0

..0..3..0..3....0..0..0..0....0..1..0..0....0..0..3..0....3..0..0..0

..0..2..0..0....0..0..0..3....1..2..3..0....0..3..2..0....0..3..3..0

..0..3..0..0....3..0..0..0....0..3..0..3....0..0..0..3....3..0..0..3

..0..0..0..0....0..3..0..0....0..0..0..0....0..0..0..0....0..0..3..0

CROSSREFS

Sequence in context: A057651 A106925 A085640 * A069378 A287808 A117130

Adjacent sequences: A196802 A196803 A196804 * A196806 A196807 A196808

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 06 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 January 29 00:02 EST 2023. Contains 359905 sequences. (Running on oeis4.)