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A000467 Number of permutations of [n] in which the longest increasing run has length 6.
(Formerly M4868 N2083)
0, 0, 0, 0, 0, 1, 12, 137, 1602, 19710, 257400, 3574957, 52785901, 827242933, 13730434111, 240806565782, 4452251786946, 86585391630673, 1767406549387381, 37790452850585180, 844817788372455779, 19711244788916894489, 479203883157602851294 (list; graph; refs; listen; history; text; internal format)



Max A. Alekseyev, On the number of permutations with bounded runs length, arXiv preprint arXiv:1205.4581, 2012. - From N. J. A. Sloane, Oct 23 2012

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 261.

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).


Max Alekseyev, Table of n, a(n) for n = 1..100


Column 6 of A008304. Other columns: A000303, A000402, A000434, A000456.

Cf. A001250, A001251, A001252, A001253, A010026, A211318.

Sequence in context: A194013 A189501 A216081 * A059517 A243966 A097167

Adjacent sequences:  A000464 A000465 A000466 * A000468 A000469 A000470




N. J. A. Sloane.


Edited and extended by Max Alekseyev, May 20 2012



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Last modified December 21 09:07 EST 2014. Contains 252300 sequences.