|
| |
|
|
A068906
|
|
Square array read by antidiagonals of partitions of k modulo n.
|
|
3
| |
|
|
0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 3, 2, 1, 0, 1, 1, 1, 3, 2, 1, 0, 1, 2, 3, 0, 3, 2, 1, 0, 0, 0, 3, 2, 5, 3, 2, 1, 0, 0, 1, 3, 1, 1, 5, 3, 2, 1, 0, 0, 0, 2, 0, 5, 0, 5, 3, 2, 1, 0, 0, 0, 2, 2, 3, 4, 7, 5, 3, 2, 1, 0, 1, 2, 2, 0, 4, 1, 3, 7, 5, 3, 2, 1, 0, 1, 2, 0, 2, 0, 1, 7, 2, 7, 5, 3, 2, 1
(list; table; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,9
|
|
|
COMMENTS
| 0 is disproportionately common modulo 5, 7 and 11, largely because T(5,5m+4)=T(7,7m+5)=T(11,11m+6)=0.
|
|
|
LINKS
| Henry Bottomley, Partition calculators using java applets
Index entries for sequences related to partitions
|
|
|
FORMULA
| T(n, k) =A051127(n, A000041(k))
|
|
|
EXAMPLE
| Rows start 0,0,0,0,0,...; 1,0,1,1,1,...; 1,2,0,2,1,...; 1,2,3,1,3,...; 1,2,3,0,2,1,...; 1,2,3,5,1,5,...; 1,2,3,5,0,...; 1,2,3,5,7,...; etc.
|
|
|
CROSSREFS
| Rows 2, 3, 5, 7 and 11 give A040051, A068907, A068908, A068909, A020919.
Sequence in context: A130161 A115672 A079694 * A162514 A166347 A055300
Adjacent sequences: A068903 A068904 A068905 * A068907 A068908 A068909
|
|
|
KEYWORD
| nonn,tabl
|
|
|
AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Mar 05 2002
|
| |
|
|
