|
Search: id:A002569
|
|
|
| A002569 |
|
Max { 0<=k<=n, partitions of n into exactly k parts }. (Formerly M0283 N0101)
|
|
+0 6
|
|
| 1, 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 11, 15, 18, 23, 30, 37, 47, 58, 71, 90, 110, 136, 164, 201, 248, 300, 364, 436, 525, 638, 764, 919, 1090, 1297, 1549, 1845, 2194, 2592, 3060, 3590, 4242, 5013, 5888, 6912, 8070, 9418, 11004, 12866, 15021, 17475, 20298, 23501, 27169
(list; graph; listen)
|
|
|
OFFSET
|
0,5
|
|
|
REFERENCES
|
F. C. Auluck, S. Chowla and H. Gupta, On the maximum value of the number of partitions into k parts, J. Indian Math. Soc., 6 (1942), 105-112.
T. S. Motzkin, Sorting numbers for cylinders and other classification numbers, in Combinatorics, Proc. Symp. Pure Math. 19, AMS, 1971, pp. 167-176 (p. 172, gives a(9) incorrectly as 6).
T. S. Motzkin, Sorting numbers ...: for a link to this paper see A000262.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
|
|
CROSSREFS
|
Cf. A046155.
Sequence in context: A122130 A003073 A123946 this_sequence A129528 A052336 A061287
Adjacent sequences: A002566 A002567 A002568 this_sequence A002570 A002571 A002572
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
EXTENSIONS
|
More terms from Dave Wilson.
|
|
|
Search completed in 0.002 seconds
|