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!)
A197064 Number of nX3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 4,1,3,0,2 for x=0,1,2,3,4 1
3, 11, 76, 408, 2026, 10582, 55882, 292564, 1530151, 8011519, 41953630, 219665320, 1150106497, 6021786417, 31529327887, 165083020845, 864350463984, 4525614428894, 23695466872796, 124066050968884, 649591959407978 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

Column 3 of A197069

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +8*a(n-2) +32*a(n-3) +58*a(n-4) +96*a(n-5) +37*a(n-6) -10*a(n-7) -4*a(n-8) -26*a(n-9) +3*a(n-10) -2*a(n-11) -a(n-12) for n>13

EXAMPLE

Some solutions for n=4

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

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

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

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

CROSSREFS

Sequence in context: A290025 A181388 A196691 * A117765 A220146 A046153

Adjacent sequences:  A197061 A197062 A197063 * A197065 A197066 A197067

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 09 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 February 19 10:03 EST 2020. Contains 332041 sequences. (Running on oeis4.)