|
|
A297501
|
|
Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 2 neighboring 1s.
|
|
1
|
|
|
4, 31, 110, 531, 2534, 11405, 53175, 246040, 1135117, 5253716, 24286811, 112274796, 519155469, 2400230989, 11097385328, 51309028043, 237225520918, 1096808926323, 5071081279846, 23446053720513, 108402467083427, 501197081280420
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = a(n-1) +5*a(n-2) +37*a(n-3) +63*a(n-4) +101*a(n-5) -45*a(n-6) -198*a(n-7) -254*a(n-8) -40*a(n-9) +88*a(n-10) +96*a(n-11)
|
|
EXAMPLE
|
Some solutions for n=7
..1..0..1. .1..1..0. .0..0..0. .1..1..0. .1..1..0. .0..1..0. .1..0..0
..0..1..0. .0..0..0. .0..0..0. .0..0..1. .1..0..0. .1..1..1. .0..1..1
..0..1..0. .1..0..0. .1..1..0. .0..0..0. .0..0..0. .0..0..0. .0..0..0
..1..1..1. .1..1..0. .0..0..0. .1..1..0. .0..1..1. .1..0..0. .1..1..1
..0..0..0. .0..1..0. .0..0..0. .1..0..0. .0..0..0. .1..1..0. .0..1..0
..0..1..0. .0..1..1. .1..1..0. .0..0..0. .0..1..0. .0..0..0. .0..1..0
..0..1..1. .0..0..1. .0..0..0. .1..1..0. .1..0..0. .1..1..0. .1..0..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|