OFFSET
1,1
COMMENTS
EXAMPLE
For n=1 the unique partition of 2n+1=3 that does not contains 1 as part is 3, so row 1 has an element = 3.
For n=2 there are 2 partitions of 2n+1=5 that do not contain 1 as part:
5 ............ or ....... 5 . . . .
3 + 2 ........ or .......(3). . 2 .
These partitions contain (3), the row n-1 of triangle, so
the parts of the largest subshell are 5, 2.
For n=3 there are 4 partitions of 2n+1=7 that do not contain 1 as part:
7 ............ or ....... 7 . . . . . .
4 + 3 ........ or ....... 4 . . . 3 . .
5 + 2 ........ or .......(5). . . . 2 .
3 + 2 + 2 .... or .......(3). .(2). 2 .
These partitions contain (5) and (3),(2), the parts of the rows < n of triangle, so the parts of the largest subshell are 7, 4, 3, 2, 2.
And so on.
Triangle begins:
3,
5,2,
7,4,3,2,2,
9,5,4,6,3,3,3,3,2,2,2,2,
11,6,5,7,4,8,3,4,4,3,5,3,3,2,2,2,2,2,2,2,2,
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Omar E. Pol, Dec 04 2010
STATUS
approved