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A007289 Number of alternating 3-signed permutations.
(Formerly M1873)
+0
2
1, 2, 8, 46, 352, 3362, 38528, 515086, 7869952, 135274562, 2583554048, 54276473326, 1243925143552, 30884386347362, 825787662368768, 23657073914466766, 722906928498737152, 23471059057478981762 (list; graph; listen)
OFFSET

0,2

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 2x + cos x) / cos 3x.

CROSSREFS

Sequence in context: A128085 A052801 A074599 this_sequence A099765 A096656 A102009

Adjacent sequences: A007286 A007287 A007288 this_sequence A007290 A007291 A007292

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Simon Plouffe (simon.plouffe(AT)gmail.com)

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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