|
|
A224647
|
|
Number of (n+2)X6 0..1 matrices with each 3X3 subblock having the same population
|
|
1
|
|
|
8000, 12320, 19328, 31616, 64256, 135872, 303488, 775232, 2028416, 5447168, 15405440, 43963712, 126627200, 371378240, 1092921728, 3227503616, 9594041216, 28558924352, 85132055168, 254413742912, 760757553536, 2276205982208
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 4*a(n-1) -3*a(n-2) +36*a(n-3) -144*a(n-4) +108*a(n-5) -503*a(n-6) +2012*a(n-7) -1509*a(n-8) +3480*a(n-9) -13920*a(n-10) +10440*a(n-11) -12564*a(n-12) +50256*a(n-13) -37692*a(n-14) +22464*a(n-15) -89856*a(n-16) +67392*a(n-17) -15552*a(n-18) +62208*a(n-19) -46656*a(n-20)
|
|
EXAMPLE
|
Some solutions for n=2
..0..1..1..1..1..0....1..0..0..1..0..0....0..1..1..0..1..1....1..1..0..0..0..1
..1..0..0..1..0..1....0..0..0..0..1..1....1..0..1..1..0..1....1..0..1..1..1..0
..1..0..1..0..0..1....1..1..1..1..0..0....1..0..1..1..0..1....0..0..0..1..0..0
..0..1..1..1..1..0....0..1..0..0..1..0....1..0..1..1..0..1....1..1..0..0..0..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|