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A000506
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One half of the number of permutations of [n] such that the differences have 5 runs with the same signs.
(Formerly M5322 N2313)
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2
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61, 841, 7311, 51663, 325446, 1910706, 10715506, 58258210, 309958755, 1623847695, 8412276585, 43220104041, 220683627988, 1121561317408, 5679711010548, 28683869195556, 144552802373145, 727271783033445
(list; graph; refs; listen; history; internal format)
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OFFSET
| 6,1
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REFERENCES
| L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 260, #13
F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 260.
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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FORMULA
| 16*a(n)/5^n ->1 as n ->infinity . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 22 2004
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CROSSREFS
| A diagonal of A008970.
Sequence in context: A086945 A142365 A093473 * A008358 A138790 A057534
Adjacent sequences: A000503 A000504 A000505 * A000507 A000508 A000509
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KEYWORD
| nonn,easy
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 21 2004
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