|
Search: id:A124389
|
|
|
| A124389 |
|
A square array of Kolakoski string lengths, read by antidiagonals. |
|
+0
2
|
|
| 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 5, 1, 1, 1, 1, 7, 5, 7, 1, 1, 1, 1, 9, 17, 7, 9, 1, 1, 1, 1, 17, 25, 31, 9, 11, 1, 1, 1, 1, 25, 61, 49, 49, 11, 13, 1, 1, 1, 1, 43, 109, 145, 81, 71, 13, 15, 1, 1, 1
(list; table; graph; listen)
|
|
|
OFFSET
|
0,12
|
|
|
COMMENT
|
Rows of square array include A066983,A095342,A095343,A095344. See A066983 for description of Kolakoski strings. Sums of antidiagonals is A124390.
|
|
FORMULA
|
Row k of square array has g.f. (1+x-kx^2)/((1+x)(1-x-kx^2))
|
|
EXAMPLE
|
Square array begins
1, 1, 1, 1, 1, 1, 1...
1, 1, 1, 3, 3, 7, 9...
1, 1, 1, 5, 5, 17, 25...
1, 1, 1, 7, 7, 31, 49...
1, 1, 1, 9, 9, 49, 81...
1, 1, 1, 11, 11, 71, 121...
1, 1, 1, 13, 13, 97, 169...
As a number triangle, triangle begins
1,
1, 1,
1, 1, 1,
1, 1, 1, 1,
1, 3, 1, 1, 1,
1, 3, 5, 1, 1, 1,
1, 7, 5, 7, 1, 1, 1,
1, 9, 17, 7, 9, 1, 1, 1,
1, 17, 25, 31, 9, 11, 1, 1, 1
|
|
CROSSREFS
|
Adjacent sequences: A124386 A124387 A124388 this_sequence A124390 A124391 A124392
Sequence in context: A046555 A029382 A073780 this_sequence A027023 A052371 A062278
|
|
KEYWORD
|
easy,nonn,tabl
|
|
AUTHOR
|
Paul Barry (pbarry(AT)wit.ie), Oct 30 2006
|
|
|
Search completed in 0.002 seconds
|
