login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A196432 Number of nX4 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 2,1,0,3,4 for x=0,1,2,3,4 2
4, 20, 75, 314, 1283, 5311, 21803, 89640, 369032, 1517961, 6244222, 25688677, 105682189, 434759457, 1788546806, 7357898836, 30269531965, 124525282462, 512282735741, 2107472161705, 8669896311631, 35666951338042, 146729718668682 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Column 4 of A196436

LINKS

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

FORMULA

Empirical: a(n) = 6*a(n-2) +26*a(n-3) +57*a(n-4) +71*a(n-5) +49*a(n-6) +43*a(n-7) +35*a(n-8) +22*a(n-9) +25*a(n-10) +11*a(n-11) -5*a(n-12) -a(n-14)

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Sequence in context: A054611 A329174 A057333 * A302815 A196508 A121257

Adjacent sequences:  A196429 A196430 A196431 * A196433 A196434 A196435

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 02 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 September 26 13:25 EDT 2021. Contains 347668 sequences. (Running on oeis4.)