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Search: id:A003316
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| A003316 |
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Sum of lengths of longest increasing subsequences of all permutations of n elements. (Formerly M2930)
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+0 2
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| 1, 3, 12, 58, 335, 2261, 17465, 152020, 1473057, 15730705, 183571817, 2324298010, 31737207026, 464904410985, 7272666016725, 121007866402968
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Baer, R. M.; Brock, P.; Natural sorting over permutation spaces. Math. Comp. 22 1968 385-410.
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CROSSREFS
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Cf. A008304 (which is concerned with runs of adjacent elements).
Sequence in context: A020075 A020030 A121393 this_sequence A126959 A058861 A105668
Adjacent sequences: A003313 A003314 A003315 this_sequence A003317 A003318 A003319
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KEYWORD
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nonn,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), R. P. Stanley
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