|
|
A279652
|
|
Number of nX3 0..2 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards.
|
|
1
|
|
|
0, 27, 734, 20448, 549608, 14309072, 362942080, 9010004672, 219696673664, 5276496285696, 125098701453824, 2933030497825792, 68102636822126592, 1567870419323465728, 35824767230145847296, 813097556314108592128
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
|
|
LINKS
|
|
|
FORMULA
|
Empirical: a(n) = 66*a(n-1) -1560*a(n-2) +15448*a(n-3) -58272*a(n-4) +112224*a(n-5) -123456*a(n-6) +79104*a(n-7) -27648*a(n-8) +4096*a(n-9) for n>10
|
|
EXAMPLE
|
Some solutions for n=4
..0..0..1. .0..0..1. .0..1..2. .0..0..1. .0..0..1. .0..1..2. .0..1..2
..2..0..0. .1..2..2. .0..1..2. .1..1..1. .2..2..1. .0..0..0. .0..0..0
..1..0..1. .1..1..2. .0..0..0. .1..0..2. .0..0..0. .1..0..1. .0..2..2
..2..2..0. .2..2..1. .2..2..2. .0..1..2. .1..2..2. .2..0..0. .2..1..1
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|