|
Search: id:A115722
|
|
|
| A115722 |
|
Table of Durfee square of partitions in Mathematica order. |
|
+0
5
|
|
| 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 3, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2
(list; graph; listen)
|
|
|
OFFSET
|
0,10
|
|
|
LINKS
|
Eric Weisstein's World of Mathematics, Durfee Square.
|
|
FORMULA
|
If partition is laid out in descending order p(1),p(2),...,p(k) without repetition factors (e.g. [3,2,2,1,1,1]), a(P) = max_k min(k,p(k)).
|
|
EXAMPLE
|
First few rows: 0; 1,1; 1,1,1; 1,1,2,1,1; 1,1,2,1,2,1,1
|
|
CROSSREFS
|
Cf. A115721, A115994, A115720, A080577.
Row lengths A000041, totals A115995.
Sequence in context: A080028 A143223 A063993 this_sequence A115721 A138330 A128591
Adjacent sequences: A115719 A115720 A115721 this_sequence A115723 A115724 A115725
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
Frank Adams-Watters (FrankTAW(AT)Netscape.net), Mar 11 2006
|
|
|
Search completed in 0.002 seconds
|
