|
|
A302160
|
|
Number of nX5 0..1 arrays with every element equal to 0, 1 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
|
|
1
|
|
|
8, 25, 20, 51, 140, 280, 621, 1451, 3189, 7136, 16179, 36212, 81254, 182957, 410889, 922943, 2074950, 4662563, 10476618, 23545560, 52912545, 118903861, 267210837, 600490496, 1349441183, 3032538210, 6814874446, 15314690189, 34415928927
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = a(n-1) +a(n-2) +7*a(n-3) -3*a(n-4) -3*a(n-5) -14*a(n-6) +3*a(n-7) +2*a(n-8) +9*a(n-9) -2*a(n-10) -2*a(n-12) for n>15
|
|
EXAMPLE
|
Some solutions for n=5
..0..1..0..1..0. .0..1..0..1..0. .0..1..1..0..1. .0..0..1..0..1
..0..1..0..1..1. .0..1..0..1..1. .1..0..1..0..0. .0..1..0..0..1
..0..1..0..1..0. .0..1..0..1..0. .1..0..1..0..1. .0..1..0..1..0
..0..1..0..1..0. .0..1..0..1..0. .1..0..1..0..1. .1..1..0..1..0
..0..0..1..1..0. .0..1..0..1..0. .1..0..1..1..0. .0..1..0..1..0
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|