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A003316 Sum of lengths of longest increasing subsequences of all permutations of n elements.
(Formerly M2930)
+0
2
1, 3, 12, 58, 335, 2261, 17465, 152020, 1473057, 15730705, 183571817, 2324298010, 31737207026, 464904410985, 7272666016725, 121007866402968 (list; graph; listen)
OFFSET

1,2

REFERENCES

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.

CROSSREFS

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

KEYWORD

nonn,nice,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. P. Stanley

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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