|
|
A218805
|
|
Hilltop maps: number of n X 3 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal or antidiagonal neighbor in a random 0..3 n X 3 array.
|
|
1
|
|
|
7, 61, 481, 3843, 30719, 245509, 1962145, 15681787, 125331399, 1001668973, 8005501761, 63981275411, 511348785535, 4086782871861, 32662235081409, 261041908504267, 2086289496897799, 16673965838688029, 133261053752673313
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 7*a(n-1) + 7*a(n-2) + 7*a(n-3) + 3*a(n-4) + 3*a(n-5) + 3*a(n-6) + 3*a(n-7).
Empirical g.f.: x*(1 + x)*(7 + 5*x + 3*x^4 + x^5) / (1 - 7*x - 7*x^2 - 7*x^3 - 3*x^4 - 3*x^5 - 3*x^6 - 3*x^7). - Colin Barker, Jul 24 2018
|
|
EXAMPLE
|
Some solutions for n=3:
..1..0..1....0..1..1....1..0..1....1..0..0....0..1..0....0..0..1....1..1..0
..0..1..1....0..1..0....0..0..0....1..0..0....1..0..1....0..1..0....1..1..0
..1..1..0....1..0..0....1..0..0....1..1..1....1..0..0....0..0..1....1..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|