|
| |
|
|
A050186
|
|
Triangular array T read by rows: T(h,k)=number of binary words of k 1's and h-k 0's which are not a juxtaposition of 2 or more identical subwords.
|
|
13
| |
|
|
1, 1, 1, 0, 2, 0, 0, 3, 3, 0, 0, 4, 4, 4, 0, 0, 5, 10, 10, 5, 0, 0, 6, 12, 18, 12, 6, 0, 0, 7, 21, 35, 35, 21, 7, 0, 0, 8, 24, 56, 64, 56, 24, 8, 0, 0, 9, 36, 81, 126, 126, 81, 36, 9, 0, 0, 10, 40, 120, 200, 250, 200, 120, 40, 10, 0, 0, 11, 55, 165, 330, 462, 462, 330, 165, 55, 11
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,5
|
|
|
LINKS
| N. J. A. Sloane, Transforms
Index entries for triangles and arrays related to Pascal's triangle
|
|
|
FORMULA
| MOEBIUS transform of A007318 Pascal's Triangle.
|
|
|
EXAMPLE
| For example, T(4,2) counts 1100,1001,0011,0110; T(2,1) counts 10, 01 (hence also counts 1010, 0101).
Rows:
1;
1,1;
0,2,0;
0,3,3,0;
0,4,4,4,0;
0,5,10,10,5,0;
|
|
|
CROSSREFS
| Same triangle as A053727 except this one includes column 0.
T(2n, n), T(2n+1, n) match A007727, A001700, respectively. Row sums match A027375.
Sequence in context: A195664 A053202 A188122 * A074734 A174956 A124182
Adjacent sequences: A050183 A050184 A050185 * A050187 A050188 A050189
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Clark Kimberling (ck6(AT)evansville.edu)
|
| |
|
|
