|
| |
|
|
A300925
|
|
Number of nX3 0..1 arrays with every element equal to 1, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
|
|
1
|
|
|
|
1, 11, 75, 508, 3447, 23404, 158855, 1078231, 7318522, 49674630, 337167639, 2288532749, 15533466237, 105433742828, 715633842274, 4857380402810, 32969576037134, 223781720583309, 1518923337407277, 10309725472244584
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
Column 3 of A300930.
|
|
|
LINKS
|
R. H. Hardin, Table of n, a(n) for n = 1..210
|
|
|
FORMULA
|
Empirical: a(n) = 6*a(n-1) +6*a(n-2) -3*a(n-3) -9*a(n-4) -6*a(n-5) +3*a(n-6) +6*a(n-7) +2*a(n-8) for n>10
|
|
|
EXAMPLE
|
Some solutions for n=5
..0..0..0. .0..0..0. .0..0..1. .0..0..0. .0..1..1. .0..0..1. .0..1..1
..0..0..1. .0..1..0. .1..0..1. .1..1..1. .0..1..0. .0..1..1. .0..1..0
..0..1..0. .0..1..0. .1..1..0. .1..1..0. .0..0..1. .1..0..1. .1..0..1
..0..1..0. .1..1..1. .0..0..1. .0..1..0. .1..1..1. .1..0..1. .1..1..0
..0..1..1. .1..1..1. .0..0..1. .0..1..0. .1..1..1. .0..1..1. .1..1..0
|
|
|
CROSSREFS
|
Cf. A300930.
Sequence in context: A231917 A289419 A027226 * A347987 A157232 A305661
Adjacent sequences: A300922 A300923 A300924 * A300926 A300927 A300928
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
R. H. Hardin, Mar 15 2018
|
|
|
STATUS
|
approved
|
| |
|
|
