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A000506 One half of the number of permutations of [n] such that the differences have 5 runs with the same signs.
(Formerly M5322 N2313)
+0
3
61, 841, 7311, 51663, 325446, 1910706, 10715506, 58258210, 309958755, 1623847695, 8412276585, 43220104041, 220683627988, 1121561317408, 5679711010548, 28683869195556, 144552802373145, 727271783033445 (list; graph; listen)
OFFSET

6,1

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 260.

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 260, #13

FORMULA

16*a(n)/5^n ->1 as n ->infinity . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 22 2004

CROSSREFS

A diagonal of A008970.

Sequence in context: A086945 A142365 A093473 this_sequence A008358 A138790 A057534

Adjacent sequences: A000503 A000504 A000505 this_sequence A000507 A000508 A000509

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 21 2004

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Last modified December 19 12:50 EST 2009. Contains 171053 sequences.


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