|
| |
|
|
A299835
|
|
Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
|
|
1
|
|
|
|
2, 64, 1000, 13850, 198202, 2853873, 41026724, 589665345, 8475712818, 121828795509, 1751145754781, 25170657077961, 361798588649774, 5200429172871619, 74750052326542025, 1074444076986377568
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Column 4 of A299839.
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..210
|
|
|
FORMULA
|
Empirical: a(n) = 14*a(n-1) +a(n-2) +68*a(n-3) -24*a(n-4) -702*a(n-5) -151*a(n-6) -1080*a(n-7) +2180*a(n-8) +6939*a(n-9) -2653*a(n-10) -6639*a(n-11) -3139*a(n-12) -3348*a(n-13) +8687*a(n-14) +5803*a(n-15) -5001*a(n-16) -1532*a(n-17) +484*a(n-18) -180*a(n-19) +281*a(n-20) -17*a(n-21) -6*a(n-22) for n>23
|
|
|
EXAMPLE
|
Some solutions for n=5
..0..0..0..0. .0..0..1..1. .0..0..1..1. .0..0..1..1. .0..0..0..1
..0..1..1..0. .0..1..0..1. .0..0..1..1. .1..0..0..1. .0..0..0..1
..0..0..1..1. .0..1..1..0. .0..0..0..0. .1..0..0..0. .1..0..1..1
..1..0..1..0. .0..1..0..0. .1..0..0..0. .0..1..1..0. .1..1..1..0
..1..0..0..1. .1..1..1..0. .1..1..1..0. .1..0..1..1. .1..1..0..0
|
|
|
CROSSREFS
|
Cf. A299839.
Sequence in context: A299138 A299933 A299063 * A299724 A047707 A223121
Adjacent sequences: A299832 A299833 A299834 * A299836 A299837 A299838
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin, Feb 20 2018
|
|
|
STATUS
|
approved
|
| |
|
|
