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A128103 Number of permutations with an even number of rises. 0
1, 1, 2, 12, 68, 360, 2384, 20160, 185408, 1814400, 19781504, 239500800, 3124694528, 43589145600, 652885305344, 10461394944000, 177948646719488, 3201186852864000, 60808005761859584, 1216451004088320000 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

LINKS

F. C. S. Brown, T. M. A. Fink and K. Willbrand, On arithmetic and asymptotic properties of up-down numbers

FORMULA

E.g.f.: 1/2 [z/(1-z) + tanh(z) ].

CROSSREFS

Sequence in context: A000954 A056636 A174327 * A078839 A026306 A116398

Adjacent sequences:  A128100 A128101 A128102 * A128104 A128105 A128106

KEYWORD

nonn

AUTHOR

Ralf Stephan, May 09 2007

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Last modified February 16 23:45 EST 2012. Contains 205978 sequences.