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A007286 Number of alternating 3-signed permutations.
(Formerly M3945)
+0
2
1, 1, 5, 26, 205, 1936, 22265, 297296, 4544185, 78098176, 1491632525, 31336418816, 718181418565, 17831101321216, 476768795646785, 13658417358350336, 417370516232719345, 13551022195053101056 (list; graph; listen)
OFFSET

0,3

REFERENCES

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

Richard Ehrenborg and Margaret A. Readdy, Sheffer posets and r-signed permutations, Annales des Sciences Math\'ematiques du Qu\'ebec {\bf 19} (1995), 173-196.

FORMULA

G.f.: ( sin x + cos 2x ) / cos 3x.

CROSSREFS

Sequence in context: A094422 A121750 A143341 this_sequence A099032 A094652 A027529

Adjacent sequences: A007283 A007284 A007285 this_sequence A007287 A007288 A007289

KEYWORD

nonn

AUTHOR

Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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