|
|
A209104
|
|
Number of 5Xn 0..2 arrays with new values 0..2 introduced in row major order and no element equal to more than one of its immediate leftward or upward or right-upward antidiagonal neighbors
|
|
1
|
|
|
41, 4568, 407832, 34538488, 2896732704, 242632290432, 20321585350224, 1702054356798544, 142558373809744128, 11940239726878790824, 1000077375423933174600, 83763383343364383999032
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 171*a(n-1) -10470*a(n-2) +325569*a(n-3) -5715687*a(n-4) +56148167*a(n-5) -245912801*a(n-6) -484495146*a(n-7) +10078833115*a(n-8) -31788474833*a(n-9) -62614662381*a(n-10) +560437441681*a(n-11) -642115987254*a(n-12) -2499011458897*a(n-13) +6268700558495*a(n-14) +963700261876*a(n-15) -12620524925764*a(n-16) +6372190291752*a(n-17) +1053712106560*a(n-18) -1060563638688*a(n-19) +11585781964416*a(n-20) +5647581956608*a(n-21) -36276070293504*a(n-22) +23488582508544*a(n-23) +1781937340416*a(n-24) -5735198490624*a(n-25) +1426902220800*a(n-26) for n>29
|
|
EXAMPLE
|
Some solutions for n=4
..0..0..0..0....0..0..0..1....0..1..2..2....0..0..0..0....0..0..1..2
..1..1..1..0....2..1..2..2....0..0..0..2....1..1..2..1....2..1..2..1
..2..2..0..1....0..2..0..0....1..2..0..0....0..0..2..0....1..2..1..2
..0..1..0..0....2..0..1..1....1..0..1..0....1..2..1..2....2..0..0..1
..2..0..1..1....2..1..2..1....2..2..1..2....1..2..1..1....0..2..2..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|