|
|
A265692
|
|
Irregular triangle read by rows: lexicographically last addition chain of minimal length for n.
|
|
2
|
|
|
1, 1, 2, 1, 2, 3, 1, 2, 4, 1, 2, 4, 5, 1, 2, 4, 6, 1, 2, 4, 6, 7, 1, 2, 4, 8, 1, 2, 4, 8, 9, 1, 2, 4, 8, 10, 1, 2, 4, 8, 10, 11, 1, 2, 4, 8, 12, 1, 2, 4, 8, 12, 13, 1, 2, 4, 8, 12, 14, 1, 2, 4, 5, 10, 15, 1, 2, 4, 8, 16, 1, 2, 4, 8, 16, 17, 1, 2, 4, 8, 16, 18, 1, 2, 4, 8, 16, 18, 19, 1, 2, 4, 8, 16, 20
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,3
|
|
COMMENTS
|
While addition chains are normally entered with terms in increasing order, the usual definition requires only that each term follows a pair of terms of which it is the sum. This sequence will eventually contain rows that are not monotonic; in particular, any non-Brauer number will have such a chain. What is the first number whose chain in this sequence is not monotonic?
47 is the first number with a non-monotonic lexicographically last addition chain of minimal length: [1, 2, 4, 8, 16, 5, 21, 42, 47]. - Alois P. Heinz, Dec 22 2015
Needs a b-file.
|
|
LINKS
|
|
|
EXAMPLE
|
The table starts:
1
1 2
1 2 3
1 2 4
1 2 4 5
1 2 4 6
1 2 4 6 7
1 2 4 8
...
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|