|
|
A318542
|
|
Number of nX5 0..1 arrays with every element unequal to 0, 1, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
|
|
1
|
|
|
8, 8, 26, 78, 247, 784, 2349, 7191, 22268, 68384, 210050, 645832, 1985105, 6102355, 18758291, 57660242, 177244228, 544835790, 1674781291, 5148145759, 15824995614, 48644815851, 149530340549, 459644547764, 1412911535090, 4343179473160
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Column 5 of A318545.
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..210
|
|
FORMULA
|
Empirical: a(n) = a(n-1) +14*a(n-3) +7*a(n-4) +33*a(n-5) -6*a(n-6) +20*a(n-7) -48*a(n-8) -4*a(n-9) -32*a(n-10) +30*a(n-12) +14*a(n-13) -8*a(n-14) -10*a(n-15) +9*a(n-16) -3*a(n-17) -13*a(n-18) +9*a(n-19) +7*a(n-20) -5*a(n-21) -a(n-22) +a(n-23) for n>24
|
|
EXAMPLE
|
Some solutions for n=5
..0..0..0..0..0. .0..0..0..1..0. .0..0..1..0..0. .0..1..0..0..0
..0..0..0..0..0. .1..0..0..0..0. .0..0..0..0..1. .0..0..0..0..0
..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..1..0
..1..0..0..0..0. .0..1..0..0..0. .1..0..0..0..0. .0..0..0..0..0
..0..0..0..1..0. .0..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0
|
|
CROSSREFS
|
Cf. A318545.
Sequence in context: A211017 A037018 A246310 * A319089 A003873 A077110
Adjacent sequences: A318539 A318540 A318541 * A318543 A318544 A318545
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
R. H. Hardin, Aug 28 2018
|
|
STATUS
|
approved
|
|
|
|