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Search: id:A002569
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| A002569 |
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Max { 0<=k<=n, partitions of n into exactly k parts }.
(Formerly M0283 N0101)
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+0
6
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| 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)
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OFFSET
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0,5
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REFERENCES
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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).
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CROSSREFS
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Cf. A046155.
Sequence in context: A122130 A003073 A123946 this_sequence A129528 A052336 A061287
Adjacent sequences: A002566 A002567 A002568 this_sequence A002570 A002571 A002572
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Dave Wilson.
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