|
| |
|
|
A305949
|
|
Number of nX3 0..1 arrays with every element unequal to 0, 2, 3, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
|
|
2
|
|
|
|
1, 8, 23, 107, 537, 2800, 14652, 77128, 406622, 2146188, 11333438, 59863786, 316248100, 1670789296, 8827362224, 46638933714, 246416884814, 1301950664178, 6878911947762, 36345074634940, 192031153782354, 1014607291471240
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
Column 3 of A305954.
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..210
|
|
|
FORMULA
|
Empirical: a(n) = 5*a(n-1) +7*a(n-2) -13*a(n-3) -88*a(n-4) -25*a(n-5) +177*a(n-6) +214*a(n-7) +73*a(n-8) -188*a(n-9) -194*a(n-10) -92*a(n-11) -26*a(n-12) -26*a(n-13) -18*a(n-14) +16*a(n-15) +8*a(n-16) for n>17
|
|
|
EXAMPLE
|
Some solutions for n=5
..0..1..0. .0..0..1. .0..1..0. .0..1..1. .0..1..1. .0..1..0. .0..1..0
..0..1..1. .1..1..0. .0..1..0. .0..1..1. .1..0..0. .1..1..0. .1..0..1
..1..0..0. .0..1..1. .1..0..1. .0..0..0. .0..1..1. .0..1..1. .1..0..1
..1..0..1. .0..0..1. .0..0..1. .1..0..1. .1..1..0. .1..0..1. .0..0..1
..1..0..1. .1..1..0. .1..0..1. .0..1..0. .0..0..1. .0..1..0. .1..1..0
|
|
|
CROSSREFS
|
Cf. A305954.
Sequence in context: A320310 A303720 A304414 * A220973 A233470 A334720
Adjacent sequences: A305946 A305947 A305948 * A305950 A305951 A305952
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin, Jun 15 2018
|
|
|
STATUS
|
approved
|
| |
|
|
